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

x = 1/2

Step-by-step 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

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