Solve for x 39=7+5x-2(x-1)

$39 = 7 + 5 x - 2 (x - 1)$

Rewrite the equation as $7 + 5 x - 2 (x - 1) = 39$ .

$7 + 5 x - 2 (x - 1) = 39$

Simplify $7 + 5 x - 2 (x - 1)$ .

Simplify each term.

Apply the distributive property.

$7 + 5 x - 2 x - 2 \cdot - 1 = 39$

Multiply $- 2$ by $- 1$ .

$7 + 5 x - 2 x + 2 = 39$

Simplify by adding terms.

Add $7$ and $2$ .

$5 x - 2 x + 9 = 39$

Subtract $2 x$ from $5 x$ .

$3 x + 9 = 39$

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

Subtract $9$ from both sides of the equation.

$3 x = 39 - 9$

Subtract $9$ from $39$ .

$3 x = 30$

Divide each term in $3 x = 30$ by $3$ and simplify.

Divide each term in $3 x = 30$ by $3$ .

$\frac{3 x}{3} = \frac{30}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{30}{3}$

Divide $x$ by $1$ .

$x = \frac{30}{3}$

Simplify the right side.

Divide $30$ by $3$ .

$x = 10$