Solve 7-4(3x-1)=5(1-2x)

Question

Solve the equation

x = 3

Evaluate

7 - 4 (3 x - 1) = 5 (1 - 2 x)

Calculate

More Steps

Evaluate

7 - 4 (3 x - 1)

Expand the expression

More Steps

Calculate

- 4 (3 x - 1)

Apply the distributive property

- 4 \times 3 x - (- 4 \times 1)

Multiply the numbers

- 12 x - (- 4 \times 1)

Any expression multiplied by 1 remains the same

- 12 x - (- 4)

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

- 12 x + 4

7 - 12 x + 4

Add the numbers

11 - 12 x

11 - 12 x = 5 (1 - 2 x)

Calculate

More Steps

Evaluate

5 (1 - 2 x)

Apply the distributive property

5 \times 1 - 5 \times 2 x

Any expression multiplied by 1 remains the same

5 - 5 \times 2 x

Multiply the numbers

5 - 10 x

11 - 12 x = 5 - 10 x

Move the expression to the left side

11 - 12 x - (5 - 10 x) = 0

Calculate

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Add the terms

11 - 12 x - (5 - 10 x)

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

11 - 12 x - 5 + 10 x

Subtract the numbers

6 - 12 x + 10 x

Add the terms

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Evaluate

- 12 x + 10 x

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

(- 12 + 10) x

Add the numbers

- 2 x

6 - 2 x

6 - 2 x = 0

Move the constant to the right-hand side and change its sign

- 2 x = 0 - 6

Removing 0 doesn't change the value,so remove it from the expression

- 2 x = - 6

Change the signs on both sides of the equation

2 x = 6

Divide both sides

\frac{2 x}{2} = \frac{6}{2}

Divide the numbers

x = \frac{6}{2}

Solution

More Steps

Evaluate

\frac{6}{2}

Reduce the numbers

\frac{3}{1}

Calculate

3

x = 3

Show Solution

Rewrite the equation

x = 3

Evaluate

7 - 4 (3 x - 1) = 5 (1 - 2 x)

Evaluate

More Steps

Evaluate

7 - 4 (3 x - 1)

Expand the expression

More Steps

Calculate

- 4 (3 x - 1)

Apply the distributive property

- 4 \times 3 x - (- 4 \times 1)

Multiply the numbers

- 12 x - (- 4 \times 1)

Any expression multiplied by 1 remains the same

- 12 x - (- 4)

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

- 12 x + 4

7 - 12 x + 4

Add the numbers

11 - 12 x

11 - 12 x = 5 (1 - 2 x)

Multiply

More Steps

Evaluate

5 (1 - 2 x)

Apply the distributive property

5 \times 1 - 5 \times 2 x

Any expression multiplied by 1 remains the same

5 - 5 \times 2 x

Multiply the numbers

5 - 10 x

11 - 12 x = 5 - 10 x

Move the variable to the left side

11 - 2 x = 5

Move the constant to the right side

- 2 x = - 6

Multiply both sides

2 x = 6

Solution

x = 3

Show Solution

Solve the equation

Rewrite the equation

Graph