Question

1/4 (40 - 8x) = 19x + 2 - 5x

Answer 1

x = 1/2

Explanation:

1/4(40−8x)=19x+2−5x

(1/4)(40)+(1/4)(−8x)=19x+2+−5x (Distribute)

10+−2x=19x+2+−5x

−2x+10=(19x+−5x)+(2) (Combine Like Terms)

−2x+10=14x+2

−2x+10=14x+2

Subtract 14x from both sides.

−2x+10−14x=14x+2−14x

−16x+10=2

Subtract 10 from both sides.

−16x+10−10=2−10

−16x=−8

Divide both sides by -16.

−16x/−16=−8/−16

x=1/2

Answer 2

Simplify 1/4(40 - 8x) to 40 - 8x/4

40 - 8x/4 = 19x + 2 - 5x

Factor out the common term 8

8(5 - x)/4 = 19x + 2 - 5x

Simplify 8(5 - x)/9 to 2(5 - x)

2(5 - x) = 19x + 2 - 5x

Simplify 19x + 2 - 5x to 14x + 2

2(5 - x) = 14x + 2

Expand

10 - 2x = 14x + 2

Add 2x to both sides

10 = 14x + 2 + 2x

Simpliy 14x + 2 + 2x to 16x + 2

10 = 16x + 2

Subtract 2 from both sides

10 - 2 = 16x

Simplify 10 - 2 to 8

8 = 16x

Divide both sides by 16

8/16 = x

Simplify 8/16 to 1/2

1/2 = x

Switch sides

x = 1/2