Solve 360=1/4(x-2)100-90

$$360 = \frac { 1 } { 4 } ( x - 2 ) 100 - 90$$

Solve for x

$$x=20$$

Steps for Solving Linear Equation

Multiply \frac{1}{4} and 100 to get \frac{100}{4}.

$$360=\frac{100}{4}\left(x-2\right)-90$$

Divide 100 by 4 to get 25.

$$360=25\left(x-2\right)-90$$

Use the distributive property to multiply 25 by x-2.

$$360=25x-50-90$$

Subtract 90 from -50 to get -140.

$$360=25x-140$$

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

$$25x-140=360$$

Add 140 to both sides.

$$25x=360+140$$

Add 360 and 140 to get 500.

$$25x=500$$

Divide both sides by 25.

$$x=\frac{500}{25}$$

Divide 500 by 25 to get 20.

$$x=20$$