.15(x+40)-.08(x-60)=8

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Solution for .15(x+40)-.08(x-60)=8 equation: 


Simplifying
0.15(x + 40) + -0.08(x + -60) = 8

Reorder the terms:
0.15(40 + x) + -0.08(x + -60) = 8
(40 * 0.15 + x * 0.15) + -0.08(x + -60) = 8
(6 + 0.15x) + -0.08(x + -60) = 8

Reorder the terms:
6 + 0.15x + -0.08(-60 + x) = 8
6 + 0.15x + (-60 * -0.08 + x * -0.08) = 8
6 + 0.15x + (4.8 + -0.08x) = 8

Reorder the terms:
6 + 4.8 + 0.15x + -0.08x = 8

Combine like terms: 6 + 4.8 = 10.8
10.8 + 0.15x + -0.08x = 8

Combine like terms: 0.15x + -0.08x = 0.07x
10.8 + 0.07x = 8

Solving
10.8 + 0.07x = 8

Solving for variable 'x'.

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

Add '-10.8' to each side of the equation.
10.8 + -10.8 + 0.07x = 8 + -10.8

Combine like terms: 10.8 + -10.8 = 0.0
0.0 + 0.07x = 8 + -10.8
0.07x = 8 + -10.8

Combine like terms: 8 + -10.8 = -2.8
0.07x = -2.8

Divide each side by '0.07'.
x = -40

Simplifying
x = -40

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