Solve 35-(-3)=3(x-2)+17

$$35 - ( - 3 ) = 3 ( x - 2 ) + 17$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

The opposite of -3 is 3.

$$35+3=3\left(x-2\right)+17$$

Add 35 and 3 to get 38.

$$38=3\left(x-2\right)+17$$

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

$$38=3x-6+17$$

Add -6 and 17 to get 11.

$$38=3x+11$$

Swap sides so that all variable terms are on the left hand side.

$$3x+11=38$$

Subtract 11 from both sides.

$$3x=38-11$$

Subtract 11 from 38 to get 27.

$$3x=27$$

Divide both sides by 3.

$$x=\frac{27}{3}$$

Divide 27 by 3 to get 9.

$$x=9$$