Solve for x 5(2x-1)-3x=5x+9

$5 (2 x - 1) - 3 x = 5 x + 9$

Step 1

Simplify $5 (2 x - 1) - 3 x$ .

Simplify each term.

Apply the distributive property.

$5 (2 x) + 5 \cdot - 1 - 3 x = 5 x + 9$

Multiply $2$ by $5$ .

$10 x + 5 \cdot - 1 - 3 x = 5 x + 9$

Multiply $5$ by $- 1$ .

$10 x - 5 - 3 x = 5 x + 9$

Subtract $3 x$ from $10 x$ .

$7 x - 5 = 5 x + 9$

Step 2

Move all terms containing $x$ to the left side of the equation.

Subtract $5 x$ from both sides of the equation.

$7 x - 5 - 5 x = 9$

Subtract $5 x$ from $7 x$ .

$2 x - 5 = 9$

Step 3

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

Add $5$ to both sides of the equation.

$2 x = 9 + 5$

Add $9$ and $5$ .

$2 x = 14$

Step 4

Divide each term in $2 x = 14$ by $2$ and simplify.

Divide each term in $2 x = 14$ by $2$ .

$\frac{2 x}{2} = \frac{14}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{14}{2}$

Divide $x$ by $1$ .

$x = \frac{14}{2}$

Simplify the right side.

Divide $14$ by $2$ .

$x = 7$