0.2(x+20)-0.06(x-50)=12.6

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Solution for 0.2(x+20)-0.06(x-50)=12.6 equation: 


Simplifying
0.2(x + 20) + -0.06(x + -50) = 12.6

Reorder the terms:
0.2(20 + x) + -0.06(x + -50) = 12.6
(20 * 0.2 + x * 0.2) + -0.06(x + -50) = 12.6
(4 + 0.2x) + -0.06(x + -50) = 12.6

Reorder the terms:
4 + 0.2x + -0.06(-50 + x) = 12.6
4 + 0.2x + (-50 * -0.06 + x * -0.06) = 12.6
4 + 0.2x + (3 + -0.06x) = 12.6

Reorder the terms:
4 + 3 + 0.2x + -0.06x = 12.6

Combine like terms: 4 + 3 = 7
7 + 0.2x + -0.06x = 12.6

Combine like terms: 0.2x + -0.06x = 0.14x
7 + 0.14x = 12.6

Solving
7 + 0.14x = 12.6

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 0.14x = 12.6 + -7

Combine like terms: 7 + -7 = 0
0 + 0.14x = 12.6 + -7
0.14x = 12.6 + -7

Combine like terms: 12.6 + -7 = 5.6
0.14x = 5.6

Divide each side by '0.14'.
x = 40

Simplifying
x = 40

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