Solve -2(x-4)+3(x-6)=2-2x

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

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x-4.

$$-2x+8+3\left(x-6\right)=2-2x$$

Use the distributive property to multiply 3 by x-6.

$$-2x+8+3x-18=2-2x$$

Combine -2x and 3x to get x.

$$x+8-18=2-2x$$

Subtract 18 from 8 to get -10.

$$x-10=2-2x$$

Add 2x to both sides.

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

Combine x and 2x to get 3x.

$$3x-10=2$$

Add 10 to both sides.

$$3x=2+10$$

Add 2 and 10 to get 12.

$$3x=12$$

Divide both sides by 3.

$$x=\frac{12}{3}$$

Divide 12 by 3 to get 4.

$$x=4$$