Solve x+2/3-x-1/2=x+12-3/2

$$\frac { x + 2 } { 3 } - \frac { x - 1 } { 2 } = x + 12 - \frac { 3 } { 2 }$$

Solve for x

$$x=-8$$

Steps for Solving Linear Equation

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

$$2\left(x+2\right)-3\left(x-1\right)=6x+72-9$$

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

$$2x+4-3\left(x-1\right)=6x+72-9$$

Use the distributive property to multiply -3 by x-1.

$$2x+4-3x+3=6x+72-9$$

Combine 2x and -3x to get -x.

$$-x+4+3=6x+72-9$$

Add 4 and 3 to get 7.

$$-x+7=6x+72-9$$

Subtract 9 from 72 to get 63.

$$-x+7=6x+63$$

Subtract 6x from both sides.

$$-x+7-6x=63$$

Combine -x and -6x to get -7x.

$$-7x+7=63$$

Subtract 7 from both sides.

$$-7x=63-7$$

Subtract 7 from 63 to get 56.

$$-7x=56$$

Divide both sides by -7.

$$x=\frac{56}{-7}$$

Divide 56 by -7 to get -8.

$$x=-8$$