Solve for x 8x-5(x-3)=18

$8 x - 5 (x - 3) = 18$

Step 1

Simplify $8 x - 5 (x - 3)$ .

Simplify each term.

Apply the distributive property.

$8 x - 5 x - 5 \cdot - 3 = 18$

Multiply $- 5$ by $- 3$ .

$8 x - 5 x + 15 = 18$

Subtract $5 x$ from $8 x$ .

$3 x + 15 = 18$

Step 2

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

Subtract $15$ from both sides of the equation.

$3 x = 18 - 15$

Subtract $15$ from $18$ .

$3 x = 3$

Step 3

Divide each term in $3 x = 3$ by $3$ and simplify.

Divide each term in $3 x = 3$ by $3$ .

$\frac{3 x}{3} = \frac{3}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{3}{3}$

Divide $x$ by $1$ .

$x = \frac{3}{3}$

Simplify the right side.

Divide $3$ by $3$ .

$x = 1$