0.2(x+20)-0.08(x-10)=12

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Solution for 0.2(x+20)-0.08(x-10)=12 equation: 


Simplifying
0.2(x + 20) + -0.08(x + -10) = 12

Reorder the terms:
0.2(20 + x) + -0.08(x + -10) = 12
(20 * 0.2 + x * 0.2) + -0.08(x + -10) = 12
(4 + 0.2x) + -0.08(x + -10) = 12

Reorder the terms:
4 + 0.2x + -0.08(-10 + x) = 12
4 + 0.2x + (-10 * -0.08 + x * -0.08) = 12
4 + 0.2x + (0.8 + -0.08x) = 12

Reorder the terms:
4 + 0.8 + 0.2x + -0.08x = 12

Combine like terms: 4 + 0.8 = 4.8
4.8 + 0.2x + -0.08x = 12

Combine like terms: 0.2x + -0.08x = 0.12x
4.8 + 0.12x = 12

Solving
4.8 + 0.12x = 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 + 0.12x = 12 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 0.12x = 12 + -4.8
0.12x = 12 + -4.8

Combine like terms: 12 + -4.8 = 7.2
0.12x = 7.2

Divide each side by '0.12'.
x = 60

Simplifying
x = 60

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