Solve for x 3x+2-5x=14-6x

$3 x + 2 - 5 x = 14 - 6 x$

Step 1

Subtract $5 x$ from $3 x$ .

$- 2 x + 2 = 14 - 6 x$

Step 2

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

Add $6 x$ to both sides of the equation.

$- 2 x + 2 + 6 x = 14$

Add $- 2 x$ and $6 x$ .

$4 x + 2 = 14$

Step 3

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

Subtract $2$ from both sides of the equation.

$4 x = 14 - 2$

Subtract $2$ from $14$ .

$4 x = 12$

Step 4

Divide each term in $4 x = 12$ by $4$ and simplify.

Divide each term in $4 x = 12$ by $4$ .

$\frac{4 x}{4} = \frac{12}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{12}{4}$

Divide $x$ by $1$ .

$x = \frac{12}{4}$

Simplify the right side.

Divide $12$ by $4$ .

$x = 3$