Solve for x 18x-(8x-7)=67

$18 x - (8 x - 7) = 67$

Step 1

Simplify $18 x - (8 x - 7)$ .

Simplify each term.

Apply the distributive property.

$18 x - (8 x) - - 7 = 67$

Multiply $8$ by $- 1$ .

$18 x - 8 x - - 7 = 67$

Multiply $- 1$ by $- 7$ .

$18 x - 8 x + 7 = 67$

Subtract $8 x$ from $18 x$ .

$10 x + 7 = 67$

Step 2

Move all terms not containing $x$ to the right side of the equation.

Subtract $7$ from both sides of the equation.

$10 x = 67 - 7$

Subtract $7$ from $67$ .

$10 x = 60$

Step 3

Divide each term in $10 x = 60$ by $10$ and simplify.

Divide each term in $10 x = 60$ by $10$ .

$\frac{10 x}{10} = \frac{60}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 x}{10} = \frac{60}{10}$

Divide $x$ by $1$ .

$x = \frac{60}{10}$

Simplify the right side.

Divide $60$ by $10$ .

$x = 6$