Solve 4x+2-x=12x+10-3x

$$4 x + 2 - x = 12 x + 10 - 3 x$$

Solve for x

$$x = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$$

Steps for Solving Linear Equation

Combine 4x and -x to get 3x.

$$3x+2=12x+10-3x$$

Combine 12x and -3x to get 9x.

$$3x+2=9x+10$$

Subtract 9x from both sides.

$$3x+2-9x=10$$

Combine 3x and -9x to get -6x.

$$-6x+2=10$$

Subtract 2 from both sides.

$$-6x=10-2$$

Subtract 2 from 10 to get 8.

$$-6x=8$$

Divide both sides by -6.

$$x=\frac{8}{-6}$$

Reduce the fraction \frac{8}{-6} to lowest terms by extracting and canceling out 2.

$$x=-\frac{4}{3}$$