0.25(x+60)-0.05(x-50)=11.5

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Solution for 0.25(x+60)-0.05(x-50)=11.5 equation: 


Simplifying
0.25(x + 60) + -0.05(x + -50) = 11.5

Reorder the terms:
0.25(60 + x) + -0.05(x + -50) = 11.5
(60 * 0.25 + x * 0.25) + -0.05(x + -50) = 11.5
(15 + 0.25x) + -0.05(x + -50) = 11.5

Reorder the terms:
15 + 0.25x + -0.05(-50 + x) = 11.5
15 + 0.25x + (-50 * -0.05 + x * -0.05) = 11.5
15 + 0.25x + (2.5 + -0.05x) = 11.5

Reorder the terms:
15 + 2.5 + 0.25x + -0.05x = 11.5

Combine like terms: 15 + 2.5 = 17.5
17.5 + 0.25x + -0.05x = 11.5

Combine like terms: 0.25x + -0.05x = 0.2x
17.5 + 0.2x = 11.5

Solving
17.5 + 0.2x = 11.5

Solving for variable 'x'.

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

Add '-17.5' to each side of the equation.
17.5 + -17.5 + 0.2x = 11.5 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + 0.2x = 11.5 + -17.5
0.2x = 11.5 + -17.5

Combine like terms: 11.5 + -17.5 = -6
0.2x = -6

Divide each side by '0.2'.
x = -30

Simplifying
x = -30

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