Solve -180x=(32-(x-8))*100

$$-180x=(32-(x-8)) \times 100$$

Solve for x

$$x=-50$$

Steps for Solving Linear Equation

To find the opposite of x-8, find the opposite of each term.

$$-180x=\left(32-x-\left(-8\right)\right)\times 100$$

The opposite of -8 is 8.

$$-180x=\left(32-x+8\right)\times 100$$

Add 32 and 8 to get 40.

$$-180x=\left(40-x\right)\times 100$$

Use the distributive property to multiply 40-x by 100.

$$-180x=4000-100x$$

Add 100x to both sides.

$$-180x+100x=4000$$

Combine -180x and 100x to get -80x.

$$-80x=4000$$

Divide both sides by -80.

$$x=\frac{4000}{-80}$$

Divide 4000 by -80 to get -50.

$$x=-50$$