0.15(x+50)-0.04(x-30)=12

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Solution for 0.15(x+50)-0.04(x-30)=12 equation: 


Simplifying
0.15(x + 50) + -0.04(x + -30) = 12

Reorder the terms:
0.15(50 + x) + -0.04(x + -30) = 12
(50 * 0.15 + x * 0.15) + -0.04(x + -30) = 12
(7.5 + 0.15x) + -0.04(x + -30) = 12

Reorder the terms:
7.5 + 0.15x + -0.04(-30 + x) = 12
7.5 + 0.15x + (-30 * -0.04 + x * -0.04) = 12
7.5 + 0.15x + (1.2 + -0.04x) = 12

Reorder the terms:
7.5 + 1.2 + 0.15x + -0.04x = 12

Combine like terms: 7.5 + 1.2 = 8.7
8.7 + 0.15x + -0.04x = 12

Combine like terms: 0.15x + -0.04x = 0.11x
8.7 + 0.11x = 12

Solving
8.7 + 0.11x = 12

Solving for variable 'x'.

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

Add '-8.7' to each side of the equation.
8.7 + -8.7 + 0.11x = 12 + -8.7

Combine like terms: 8.7 + -8.7 = 0.0
0.0 + 0.11x = 12 + -8.7
0.11x = 12 + -8.7

Combine like terms: 12 + -8.7 = 3.3
0.11x = 3.3

Divide each side by '0.11'.
x = 30

Simplifying
x = 30

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