0.15(x+30)-0.06(x-60)=10.8

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Solution for 0.15(x+30)-0.06(x-60)=10.8 equation: 


Simplifying
0.15(x + 30) + -0.06(x + -60) = 10.8

Reorder the terms:
0.15(30 + x) + -0.06(x + -60) = 10.8
(30 * 0.15 + x * 0.15) + -0.06(x + -60) = 10.8
(4.5 + 0.15x) + -0.06(x + -60) = 10.8

Reorder the terms:
4.5 + 0.15x + -0.06(-60 + x) = 10.8
4.5 + 0.15x + (-60 * -0.06 + x * -0.06) = 10.8
4.5 + 0.15x + (3.6 + -0.06x) = 10.8

Reorder the terms:
4.5 + 3.6 + 0.15x + -0.06x = 10.8

Combine like terms: 4.5 + 3.6 = 8.1
8.1 + 0.15x + -0.06x = 10.8

Combine like terms: 0.15x + -0.06x = 0.09x
8.1 + 0.09x = 10.8

Solving
8.1 + 0.09x = 10.8

Solving for variable 'x'.

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

Add '-8.1' to each side of the equation.
8.1 + -8.1 + 0.09x = 10.8 + -8.1

Combine like terms: 8.1 + -8.1 = 0.0
0.0 + 0.09x = 10.8 + -8.1
0.09x = 10.8 + -8.1

Combine like terms: 10.8 + -8.1 = 2.7
0.09x = 2.7

Divide each side by '0.09'.
x = 30

Simplifying
x = 30

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