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Solve the equation 4(0.2x - 5) = 12.

A x = -10
B. X= 4
o
C x = 13.75
D. x = 40

1 Answer

3 votes
D. x=40




EXPLANATION:

Simplifying
4(0.2x + -5) = 12

Reorder the terms:
4(-5 + 0.2x) = 12
(-5 * 4 + 0.2x * 4) = 12
(-20 + 0.8x) = 12

Solving
-20 + 0.8x = 12

Solving for variable x

Move all terms containing x to the left, all other terms to the right.

Add 20 to each side of the equation.
-20 + 20 + 0.8x = 12 + 20

Combine like terms: -20 + 20 = 0
0 + 0.8x = 12 + 20
0.8x = 12 + 20

Combine like terms: 12 + 20 = 32
0.8x = 32

Divide each side by '0.8'.
x = 40

Simply
x=40


Answer: x=40
User Deafsheep
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