0.2(x+20)-0.02(x-40)=12

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Solution for 0.2(x+20)-0.02(x-40)=12 equation: 


Simplifying
0.2(x + 20) + -0.02(x + -40) = 12

Reorder the terms:
0.2(20 + x) + -0.02(x + -40) = 12
(20 * 0.2 + x * 0.2) + -0.02(x + -40) = 12
(4 + 0.2x) + -0.02(x + -40) = 12

Reorder the terms:
4 + 0.2x + -0.02(-40 + x) = 12
4 + 0.2x + (-40 * -0.02 + x * -0.02) = 12
4 + 0.2x + (0.8 + -0.02x) = 12

Reorder the terms:
4 + 0.8 + 0.2x + -0.02x = 12

Combine like terms: 4 + 0.8 = 4.8
4.8 + 0.2x + -0.02x = 12

Combine like terms: 0.2x + -0.02x = 0.18x
4.8 + 0.18x = 12

Solving
4.8 + 0.18x = 12

Solving for variable 'x'.

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

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 0.18x = 12 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 0.18x = 12 + -4.8
0.18x = 12 + -4.8

Combine like terms: 12 + -4.8 = 7.2
0.18x = 7.2

Divide each side by '0.18'.
x = 40

Simplifying
x = 40

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