Solve 8x-2(x-2)=6(x 1) 6

Question

Solve the equation

x = \frac{2}{15}

Alternative Form

x = 0.1 \dot{3}

Evaluate

8 x - 2 (x - 2) = 6 (x \times 1) \times 6

Remove the parentheses

8 x - 2 (x - 2) = 6 x \times 1 \times 6

Multiply the terms

More Steps

Evaluate

6 x \times 1 \times 6

Rewrite the expression

6 x \times 6

Multiply the terms

36 x

8 x - 2 (x - 2) = 36 x

Move the expression to the left side

8 x - 2 (x - 2) - 36 x = 0

Subtract the terms

More Steps

Evaluate

8 x - 36 x

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

(8 - 36) x

Subtract the numbers

- 28 x

- 28 x - 2 (x - 2) = 0

Calculate

More Steps

Evaluate

- 28 x - 2 (x - 2)

Expand the expression

More Steps

Calculate

- 2 (x - 2)

Apply the distributive property

- 2 x - (- 2 \times 2)

Multiply the numbers

- 2 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

- 2 x + 4

- 28 x - 2 x + 4

Subtract the terms

More Steps

Evaluate

- 28 x - 2 x

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

(- 28 - 2) x

Subtract the numbers

- 30 x

- 30 x + 4

- 30 x + 4 = 0

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

- 30 x = 0 - 4

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

- 30 x = - 4

Change the signs on both sides of the equation

30 x = 4

Divide both sides

\frac{30 x}{30} = \frac{4}{30}

Divide the numbers

x = \frac{4}{30}

Solution

x = \frac{2}{15}

Alternative Form

x = 0.1 \dot{3}

Show Solution

Rewrite the equation

15 x = 2

Evaluate

8 x - 2 (x - 2) = 6 (x \times 1) \times 6

Evaluate

More Steps

Evaluate

8 x - 2 (x - 2)

Expand the expression

More Steps

Calculate

- 2 (x - 2)

Apply the distributive property

- 2 x - (- 2 \times 2)

Multiply the numbers

- 2 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

- 2 x + 4

8 x - 2 x + 4

Subtract the terms

More Steps

Evaluate

8 x - 2 x

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

(8 - 2) x

Subtract the numbers

6 x

6 x + 4

6 x + 4 = 6 (x \times 1) \times 6

Evaluate

More Steps

Evaluate

6 (x \times 1) \times 6

Remove the parentheses

6 x \times 1 \times 6

Rewrite the expression

6 x \times 6

Multiply the terms

36 x

6 x + 4 = 36 x

Move the variable to the left side

- 30 x + 4 = 0

Move the constant to the right side

- 30 x = - 4

Multiply both sides

30 x = 4

Solution

15 x = 2

Show Solution

Solve the equation

Rewrite the equation

Graph