Solve 9(3x+6)=14-(x+2)

$$9 ( 3 x + 6 ) = 14 - ( x + 2 )$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by 3x+6.

$$27x+54=14-\left(x+2\right)$$

To find the opposite of x+2, find the opposite of each term.

$$27x+54=14-x-2$$

Subtract 2 from 14 to get 12.

$$27x+54=12-x$$

Add x to both sides.

$$27x+54+x=12$$

Combine 27x and x to get 28x.

$$28x+54=12$$

Subtract 54 from both sides.

$$28x=12-54$$

Subtract 54 from 12 to get -42.

$$28x=-42$$

Divide both sides by 28.

$$x=\frac{-42}{28}$$

Reduce the fraction \frac{-42}{28} to lowest terms by extracting and canceling out 14.

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