Solve for x 8x+13=7x+5x-11

$8 x + 13 = 7 x + 5 x - 11$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$7 x + 5 x - 11 = 8 x + 13$

Step 2

Add $7 x$ and $5 x$ .

$12 x - 11 = 8 x + 13$

Step 3

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

Subtract $8 x$ from both sides of the equation.

$12 x - 11 - 8 x = 13$

Subtract $8 x$ from $12 x$ .

$4 x - 11 = 13$

Step 4

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

Add $11$ to both sides of the equation.

$4 x = 13 + 11$

Add $13$ and $11$ .

$4 x = 24$

Step 5

Divide each term in $4 x = 24$ by $4$ and simplify.

Divide each term in $4 x = 24$ by $4$ .

$\frac{4 x}{4} = \frac{24}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{24}{4}$

Divide $x$ by $1$ .

$x = \frac{24}{4}$

Simplify the right side.

Divide $24$ by $4$ .

$x = 6$