Solve x-6/3-2x+8/2=12

$$\frac { x - 6 } { 3 } - \frac { 2 x + 8 } { 2 } = 12$$

Solve for x

$$x=-27$$

Steps for Solving Linear Equation

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

$$2\left(x-6\right)-3\left(2x+8\right)=72$$

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

$$2x-12-3\left(2x+8\right)=72$$

Use the distributive property to multiply -3 by 2x+8.

$$2x-12-6x-24=72$$

Combine 2x and -6x to get -4x.

$$-4x-12-24=72$$

Subtract 24 from -12 to get -36.

$$-4x-36=72$$

Add 36 to both sides.

$$-4x=72+36$$

Add 72 and 36 to get 108.

$$-4x=108$$

Divide both sides by -4.

$$x=\frac{108}{-4}$$

Divide 108 by -4 to get -27.

$$x=-27$$