Solve 2x-6/2+4x+2/-3=20

$$\frac { 2 x - 6 } { 2 } + \frac { 4 x + 2 } { - 3 } = 20$$

Solve for x

$$x=-71$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,-3.

$$3\left(2x-6\right)-2\left(4x+2\right)=120$$

Use the distributive property to multiply 3 by 2x-6.

$$6x-18-2\left(4x+2\right)=120$$

Use the distributive property to multiply -2 by 4x+2.

$$6x-18-8x-4=120$$

Combine 6x and -8x to get -2x.

$$-2x-18-4=120$$

Subtract 4 from -18 to get -22.

$$-2x-22=120$$

Add 22 to both sides.

$$-2x=120+22$$

Add 120 and 22 to get 142.

$$-2x=142$$

Divide both sides by -2.

$$x=\frac{142}{-2}$$

Divide 142 by -2 to get -71.

$$x=-71$$