0.15(x+30)-0.04(x-20)=8.6

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Solution for 0.15(x+30)-0.04(x-20)=8.6 equation: 


Simplifying
0.15(x + 30) + -0.04(x + -20) = 8.6

Reorder the terms:
0.15(30 + x) + -0.04(x + -20) = 8.6
(30 * 0.15 + x * 0.15) + -0.04(x + -20) = 8.6
(4.5 + 0.15x) + -0.04(x + -20) = 8.6

Reorder the terms:
4.5 + 0.15x + -0.04(-20 + x) = 8.6
4.5 + 0.15x + (-20 * -0.04 + x * -0.04) = 8.6
4.5 + 0.15x + (0.8 + -0.04x) = 8.6

Reorder the terms:
4.5 + 0.8 + 0.15x + -0.04x = 8.6

Combine like terms: 4.5 + 0.8 = 5.3
5.3 + 0.15x + -0.04x = 8.6

Combine like terms: 0.15x + -0.04x = 0.11x
5.3 + 0.11x = 8.6

Solving
5.3 + 0.11x = 8.6

Solving for variable 'x'.

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

Add '-5.3' to each side of the equation.
5.3 + -5.3 + 0.11x = 8.6 + -5.3

Combine like terms: 5.3 + -5.3 = 0.0
0.0 + 0.11x = 8.6 + -5.3
0.11x = 8.6 + -5.3

Combine like terms: 8.6 + -5.3 = 3.3
0.11x = 3.3

Divide each side by '0.11'.
x = 30

Simplifying
x = 30

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