Solve (1)*12(x+2)=8x-2(x-1)

$$( 1 ) \times 12 ( x + 2 ) = 8 x - 2 ( x - 1 )$$

Solve for x

$$x = -\frac{11}{3} = -3\frac{2}{3} \approx -3.666666667$$

Steps for Solving Linear Equation

Multiply 1 and 12 to get 12.

$$12\left(x+2\right)=8x-2\left(x-1\right)$$

Use the distributive property to multiply 12 by x+2.

$$12x+24=8x-2\left(x-1\right)$$

Use the distributive property to multiply -2 by x-1.

$$12x+24=8x-2x+2$$

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

$$12x+24=6x+2$$

Subtract 6x from both sides.

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

Combine 12x and -6x to get 6x.

$$6x+24=2$$

Subtract 24 from both sides.

$$6x=2-24$$

Subtract 24 from 2 to get -22.

$$6x=-22$$

Divide both sides by 6.

$$x=\frac{-22}{6}$$

Reduce the fraction \frac{-22}{6} to lowest terms by extracting and canceling out 2.

$$x=-\frac{11}{3}$$