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

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

Solve for x

$$x = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$$

Steps for Solving Linear Equation

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

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

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

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

Combine 3x and -2x to get x.

$$x+6+4=-2x+6$$

Add 6 and 4 to get 10.

$$x+10=-2x+6$$

Add 2x to both sides.

$$x+10+2x=6$$

Combine x and 2x to get 3x.

$$3x+10=6$$

Subtract 10 from both sides.

$$3x=6-10$$

Subtract 10 from 6 to get -4.

$$3x=-4$$

Divide both sides by 3.

$$x=\frac{-4}{3}$$

Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

$$x=-\frac{4}{3}$$