Solve 0=-12(x+8)-20(x-3)-4

$$0 = - 12 ( x + 8 ) - 20 ( x - 3 ) - 4$$

Solve for x

$$x = -\frac{5}{4} = -1\frac{1}{4} = -1.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply -12 by x+8.

$$0=-12x-96-20\left(x-3\right)-4$$

Use the distributive property to multiply -20 by x-3.

$$0=-12x-96-20x+60-4$$

Combine -12x and -20x to get -32x.

$$0=-32x-96+60-4$$

Add -96 and 60 to get -36.

$$0=-32x-36-4$$

Subtract 4 from -36 to get -40.

$$0=-32x-40$$

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

$$-32x-40=0$$

Add 40 to both sides. Anything plus zero gives itself.

$$-32x=40$$

Divide both sides by -32.

$$x=\frac{40}{-32}$$

Reduce the fraction \frac{40}{-32} to lowest terms by extracting and canceling out 8.

$$x=-\frac{5}{4}$$