0.2(x+10)-0.02(x-40)=13.6

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Solution for 0.2(x+10)-0.02(x-40)=13.6 equation: 


Simplifying
0.2(x + 10) + -0.02(x + -40) = 13.6

Reorder the terms:
0.2(10 + x) + -0.02(x + -40) = 13.6
(10 * 0.2 + x * 0.2) + -0.02(x + -40) = 13.6
(2 + 0.2x) + -0.02(x + -40) = 13.6

Reorder the terms:
2 + 0.2x + -0.02(-40 + x) = 13.6
2 + 0.2x + (-40 * -0.02 + x * -0.02) = 13.6
2 + 0.2x + (0.8 + -0.02x) = 13.6

Reorder the terms:
2 + 0.8 + 0.2x + -0.02x = 13.6

Combine like terms: 2 + 0.8 = 2.8
2.8 + 0.2x + -0.02x = 13.6

Combine like terms: 0.2x + -0.02x = 0.18x
2.8 + 0.18x = 13.6

Solving
2.8 + 0.18x = 13.6

Solving for variable 'x'.

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

Add '-2.8' to each side of the equation.
2.8 + -2.8 + 0.18x = 13.6 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + 0.18x = 13.6 + -2.8
0.18x = 13.6 + -2.8

Combine like terms: 13.6 + -2.8 = 10.8
0.18x = 10.8

Divide each side by '0.18'.
x = 60

Simplifying
x = 60

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