Solve x-4/ 2x-4/8=5x/10-4x-6/12

Question

Solve the equation

x = 0

Evaluate

x - \frac{4}{2} x - \frac{4}{8} = (5 \times \frac{x}{10}) - 4 x - \frac{6}{12}

Simplify

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Evaluate

x - \frac{4}{2} x - \frac{4}{8}

Divide the terms

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Evaluate

\frac{4}{2}

Reduce the numbers

\frac{2}{1}

Calculate

2

x - 2 x - \frac{4}{8}

Cancel out the common factor 4

x - 2 x - \frac{1}{2}

Subtract the terms

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Evaluate

x - 2 x

Collect like terms by calculating the sum or difference of their coefficients

(1 - 2) x

Subtract the numbers

- x

- x - \frac{1}{2}

- x - \frac{1}{2} = (5 \times \frac{x}{10}) - 4 x - \frac{6}{12}

Simplify

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Evaluate

(5 \times \frac{x}{10}) - 4 x - \frac{6}{12}

Multiply the terms

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Multiply the terms

5 \times \frac{x}{10}

Cancel out the common factor 5

1 \times \frac{x}{2}

Multiply the terms

\frac{x}{2}

\frac{x}{2} - 4 x - \frac{6}{12}

Cancel out the common factor 6

\frac{x}{2} - 4 x - \frac{1}{2}

- x - \frac{1}{2} = \frac{x}{2} - 4 x - \frac{1}{2}

Multiply both sides of the equation by LCD

(- x - \frac{1}{2}) \times 2 = (\frac{x}{2} - 4 x - \frac{1}{2}) \times 2

Simplify the equation

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Evaluate

(- x - \frac{1}{2}) \times 2

Apply the distributive property

- x \times 2 - \frac{1}{2} \times 2

Simplify

- x \times 2 - 1

Use the commutative property to reorder the terms

- 2 x - 1

- 2 x - 1 = (\frac{x}{2} - 4 x - \frac{1}{2}) \times 2

Simplify the equation

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Evaluate

(\frac{x}{2} - 4 x - \frac{1}{2}) \times 2

Apply the distributive property

\frac{x}{2} \times 2 - 4 x \times 2 - \frac{1}{2} \times 2

Simplify

x - 4 x \times 2 - 1

Multiply the numbers

x - 8 x - 1

Subtract the terms

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Evaluate

x - 8 x

Collect like terms by calculating the sum or difference of their coefficients

(1 - 8) x

Subtract the numbers

- 7 x

- 7 x - 1

- 2 x - 1 = - 7 x - 1

Cancel equal terms on both sides of the expression

- 2 x = - 7 x

Add or subtract both sides

- 2 x - (- 7 x) = 0

Subtract the terms

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Evaluate

- 2 x - (- 7 x)

Collect like terms by calculating the sum or difference of their coefficients

(- 2 - (- 7)) x

Subtract the terms

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Evaluate

- 2 - (- 7)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 2 + 7

Add the numbers

5

5 x

5 x = 0

Solution

x = 0

Show Solution

Rewrite the equation

x = 0

Evaluate

x - \frac{4}{2} x - \frac{4}{8} = (5 \times \frac{x}{10}) - 4 x - \frac{6}{12}

Evaluate

More Steps

Evaluate

x - \frac{4}{2} x - \frac{4}{8}

Divide the terms

More Steps

Evaluate

\frac{4}{2}

Reduce the numbers

\frac{2}{1}

Calculate

2

x - 2 x - \frac{4}{8}

Cancel out the common factor 4

x - 2 x - \frac{1}{2}

Subtract the terms

More Steps

Evaluate

x - 2 x

Collect like terms by calculating the sum or difference of their coefficients

(1 - 2) x

Subtract the numbers

- x

- x - \frac{1}{2}

- x - \frac{1}{2} = (5 \times \frac{x}{10}) - 4 x - \frac{6}{12}

Evaluate

More Steps

Evaluate

(5 \times \frac{x}{10}) - 4 x - \frac{6}{12}

Multiply the terms

More Steps

Multiply the terms

5 \times \frac{x}{10}

Cancel out the common factor 5

1 \times \frac{x}{2}

Multiply the terms

\frac{x}{2}

\frac{x}{2} - 4 x - \frac{6}{12}

Cancel out the common factor 6

\frac{x}{2} - 4 x - \frac{1}{2}

- x - \frac{1}{2} = \frac{x}{2} - 4 x - \frac{1}{2}

Rewrite the expression

- x - \frac{1}{2} = \frac{1}{2} x - 4 x - \frac{1}{2}

Multiply both sides of the equation by LCD

- 2 x - 1 = - 7 x - 1

Move the variable to the left side

5 x - 1 = - 1

Move the constant to the right side

5 x = 0

Solution

x = 0

Show Solution

Solve the equation

Rewrite the equation

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