0.15(x+60)-0.05(x-30)=9.5

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Solution for 0.15(x+60)-0.05(x-30)=9.5 equation: 


Simplifying
0.15(x + 60) + -0.05(x + -30) = 9.5

Reorder the terms:
0.15(60 + x) + -0.05(x + -30) = 9.5
(60 * 0.15 + x * 0.15) + -0.05(x + -30) = 9.5
(9 + 0.15x) + -0.05(x + -30) = 9.5

Reorder the terms:
9 + 0.15x + -0.05(-30 + x) = 9.5
9 + 0.15x + (-30 * -0.05 + x * -0.05) = 9.5
9 + 0.15x + (1.5 + -0.05x) = 9.5

Reorder the terms:
9 + 1.5 + 0.15x + -0.05x = 9.5

Combine like terms: 9 + 1.5 = 10.5
10.5 + 0.15x + -0.05x = 9.5

Combine like terms: 0.15x + -0.05x = 0.1x
10.5 + 0.1x = 9.5

Solving
10.5 + 0.1x = 9.5

Solving for variable 'x'.

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

Add '-10.5' to each side of the equation.
10.5 + -10.5 + 0.1x = 9.5 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + 0.1x = 9.5 + -10.5
0.1x = 9.5 + -10.5

Combine like terms: 9.5 + -10.5 = -1
0.1x = -1

Divide each side by '0.1'.
x = -10

Simplifying
x = -10

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