Solve for x 6-2x=6x-10x+8

$6 - 2 x = 6 x - 10 x + 8$

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.

$6 x - 10 x + 8 = 6 - 2 x$

Step 2

Subtract $10 x$ from $6 x$ .

$- 4 x + 8 = 6 - 2 x$

Step 3

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

Add $2 x$ to both sides of the equation.

$- 4 x + 8 + 2 x = 6$

Add $- 4 x$ and $2 x$ .

$- 2 x + 8 = 6$

Step 4

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

Subtract $8$ from both sides of the equation.

$- 2 x = 6 - 8$

Subtract $8$ from $6$ .

$- 2 x = - 2$

Step 5

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

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

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $- 2$ by $- 2$ .

$x = 1$