Solve for x 5(2x-6)=22+3+5x

$5 (2 x - 6) = 22 + 3 + 5 x$

Simplify $5 (2 x - 6)$ .

Rewrite.

$0 + 0 + 5 (2 x - 6) = 22 + 3 + 5 x$

Simplify by adding zeros.

$5 (2 x - 6) = 22 + 3 + 5 x$

Apply the distributive property.

$5 (2 x) + 5 \cdot - 6 = 22 + 3 + 5 x$

Multiply.

Multiply $2$ by $5$ .

$10 x + 5 \cdot - 6 = 22 + 3 + 5 x$

Multiply $5$ by $- 6$ .

$10 x - 30 = 22 + 3 + 5 x$

Add $22$ and $3$ .

$10 x - 30 = 25 + 5 x$

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

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

$10 x - 30 - 5 x = 25$

Subtract $5 x$ from $10 x$ .

$5 x - 30 = 25$

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

Add $30$ to both sides of the equation.

$5 x = 25 + 30$

Add $25$ and $30$ .

$5 x = 55$

Divide each term in $5 x = 55$ by $5$ and simplify.

Divide each term in $5 x = 55$ by $5$ .

$\frac{5 x}{5} = \frac{55}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{55}{5}$

Divide $x$ by $1$ .

$x = \frac{55}{5}$

Simplify the right side.

Divide $55$ by $5$ .

$x = 11$