Solve for x 8-2x=-8x+14

$8 - 2 x = - 8 x + 14$

Step 1

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

Add $8 x$ to both sides of the equation.

$8 - 2 x + 8 x = 14$

Add $- 2 x$ and $8 x$ .

$8 + 6 x = 14$

Step 2

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

Subtract $8$ from both sides of the equation.

$6 x = 14 - 8$

Subtract $8$ from $14$ .

$6 x = 6$

Step 3

Divide each term in $6 x = 6$ by $6$ and simplify.

Divide each term in $6 x = 6$ by $6$ .

$\frac{6 x}{6} = \frac{6}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{6}{6}$

Divide $x$ by $1$ .

$x = \frac{6}{6}$

Simplify the right side.

Divide $6$ by $6$ .

$x = 1$