Question

Help me with my pre algebra hw

Answer 1

We just distribute the numbers out inside the parenthesis:

0.4(2x +
`(1)/(2)`) = 3[0.2x + (-2)] - 4
(0.4 × 2x) + (0.4 ×
`(1)/(2)`) = (3 × 0.2x) + (3 × -2) - 4
0.8x + 0.2 = 0.6x - 6 - 4

Join the like terms:

0.8x + 0.2 = 0.6x - 10

0.8x - 0.6x = -10 - 0.2
0.2x = -10.2

Divide by 0.2 to isolate x


`(0.2x)/(0.2)` =
`-(10.2)/(0.2)`
0.2 and 0.2 cancels out

x = -51

Answer 2

0.4 (2x + 1/2) = 3 [0.2x+(-2)] - 4
0.4 (2x + 1/2) = 3(0.2x-2) - 4

Then, you have to use the distributive property.
0.8x + 0.2 = 0.6x - 6 - 4
0.8x + 0.2 = 0.6x - 10
0.8x - 0.6x + 0.2 = -10
0.2x + 0.2 = -10
0.2x = -0.2 - 10
0.2x = -10.2
x = -10.2/0.2
x = -51

Does that make sense?