.25(x-60)+.15(x-60)+.10(x-60)=10.10

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Solution for .25(x-60)+.15(x-60)+.10(x-60)=10.10 equation: 


Simplifying
0.25(x + -60) + 0.15(x + -60) + 0.10(x + -60) = 10.10

Reorder the terms:
0.25(-60 + x) + 0.15(x + -60) + 0.10(x + -60) = 10.10
(-60 * 0.25 + x * 0.25) + 0.15(x + -60) + 0.10(x + -60) = 10.10
(-15 + 0.25x) + 0.15(x + -60) + 0.10(x + -60) = 10.10

Reorder the terms:
-15 + 0.25x + 0.15(-60 + x) + 0.10(x + -60) = 10.10
-15 + 0.25x + (-60 * 0.15 + x * 0.15) + 0.10(x + -60) = 10.10
-15 + 0.25x + (-9 + 0.15x) + 0.10(x + -60) = 10.10

Reorder the terms:
-15 + 0.25x + -9 + 0.15x + 0.10(-60 + x) = 10.10
-15 + 0.25x + -9 + 0.15x + (-60 * 0.10 + x * 0.10) = 10.10
-15 + 0.25x + -9 + 0.15x + (-6 + 0.10x) = 10.10

Reorder the terms:
-15 + -9 + -6 + 0.25x + 0.15x + 0.10x = 10.10

Combine like terms: -15 + -9 = -24
-24 + -6 + 0.25x + 0.15x + 0.10x = 10.10

Combine like terms: -24 + -6 = -30
-30 + 0.25x + 0.15x + 0.10x = 10.10

Combine like terms: 0.25x + 0.15x = 0.4x
-30 + 0.4x + 0.10x = 10.10

Combine like terms: 0.4x + 0.10x = 0.5x
-30 + 0.5x = 10.10

Solving
-30 + 0.5x = 10.10

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 0.5x = 10.10 + 30

Combine like terms: -30 + 30 = 0
0 + 0.5x = 10.10 + 30
0.5x = 10.10 + 30

Combine like terms: 10.10 + 30 = 40.1
0.5x = 40.1

Divide each side by '0.5'.
x = 80.2

Simplifying
x = 80.2

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