Solve 12(x+1)-3(x-2)=x+6

$$12 ( x + 1 ) - 3 ( x - 2 ) = x + 6$$

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 12 by x+1.

$$12x+12-3\left(x-2\right)=x+6$$

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

$$12x+12-3x+6=x+6$$

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

$$9x+12+6=x+6$$

Add 12 and 6 to get 18.

$$9x+18=x+6$$

Subtract x from both sides.

$$9x+18-x=6$$

Combine 9x and -x to get 8x.

$$8x+18=6$$

Subtract 18 from both sides.

$$8x=6-18$$

Subtract 18 from 6 to get -12.

$$8x=-12$$

Divide both sides by 8.

$$x=\frac{-12}{8}$$

Reduce the fraction \frac{-12}{8} to lowest terms by extracting and canceling out 4.

$$x=-\frac{3}{2}$$