Solve for x 8x+2=72+x

$8 x + 2 = 72 + x$

Step 1

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

Subtract $x$ from both sides of the equation.

$8 x + 2 - x = 72$

Subtract $x$ from $8 x$ .

$7 x + 2 = 72$

Step 2

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

Subtract $2$ from both sides of the equation.

$7 x = 72 - 2$

Subtract $2$ from $72$ .

$7 x = 70$

Step 3

Divide each term in $7 x = 70$ by $7$ and simplify.

Divide each term in $7 x = 70$ by $7$ .

$\frac{7 x}{7} = \frac{70}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{70}{7}$

Divide $x$ by $1$ .

$x = \frac{70}{7}$

Simplify the right side.

Divide $70$ by $7$ .

$x = 10$