Solve 8(2x-3)+4x=2(x-9)-15

$$8 ( 2 x - 3 ) + 4 x = 2 ( x - 9 ) - 15$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by 2x-3.

$$16x-24+4x=2\left(x-9\right)-15$$

Combine 16x and 4x to get 20x.

$$20x-24=2\left(x-9\right)-15$$

Use the distributive property to multiply 2 by x-9.

$$20x-24=2x-18-15$$

Subtract 15 from -18 to get -33.

$$20x-24=2x-33$$

Subtract 2x from both sides.

$$20x-24-2x=-33$$

Combine 20x and -2x to get 18x.

$$18x-24=-33$$

Add 24 to both sides.

$$18x=-33+24$$

Add -33 and 24 to get -9.

$$18x=-9$$

Divide both sides by 18.

$$x=\frac{-9}{18}$$

Reduce the fraction \frac{-9}{18} to lowest terms by extracting and canceling out 9.

$$x=-\frac{1}{2}$$