Solve 3(x-3)-2(1-x)=2x-2(x+4)+7

$$3 ( x - 3 ) - 2 ( 1 - x ) = 2 x - 2 ( x + 4 ) + 7$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$3x-9-2\left(1-x\right)=2x-2\left(x+4\right)+7$$

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

$$3x-9-2+2x=2x-2\left(x+4\right)+7$$

Subtract 2 from -9 to get -11.

$$3x-11+2x=2x-2\left(x+4\right)+7$$

Combine 3x and 2x to get 5x.

$$5x-11=2x-2\left(x+4\right)+7$$

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

$$5x-11=2x-2x-8+7$$

Combine 2x and -2x to get 0.

$$5x-11=-8+7$$

Add -8 and 7 to get -1.

$$5x-11=-1$$

Add 11 to both sides.

$$5x=-1+11$$

Add -1 and 11 to get 10.

$$5x=10$$

Divide both sides by 5.

$$x=\frac{10}{5}$$

Divide 10 by 5 to get 2.

$$x=2$$