Question

0.4 (2x plus 1/2) equal 3(0.2x plus (-2))minus 4

Answer 1

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

Now, we need to use 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

Therefore, x = -51

Answer 2

So,

0.4(2x + 1/2) = 3(.2x + -2) - 4

Distribute
0.8x + .2 = .6x + -6 - 4

Collect Like Terms

0.8x + .2 = 0.6x - 10

Get rid of the smaller placeholder (add -0.6x to both sides)
0.2x + .2 = -10

Subtract 0.2 from both sides
0.2x = -10.2

Divide both sides by 0.2
x = -51