(x-10)-0.15(x-10)=50

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Solution for (x-10)-0.15(x-10)=50 equation: 


Simplifying
(x + -10) + -0.15(x + -10) = 50

Reorder the terms:
(-10 + x) + -0.15(x + -10) = 50

Remove parenthesis around (-10 + x)
-10 + x + -0.15(x + -10) = 50

Reorder the terms:
-10 + x + -0.15(-10 + x) = 50
-10 + x + (-10 * -0.15 + x * -0.15) = 50
-10 + x + (1.5 + -0.15x) = 50

Reorder the terms:
-10 + 1.5 + x + -0.15x = 50

Combine like terms: -10 + 1.5 = -8.5
-8.5 + x + -0.15x = 50

Combine like terms: x + -0.15x = 0.85x
-8.5 + 0.85x = 50

Solving
-8.5 + 0.85x = 50

Solving for variable 'x'.

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

Add '8.5' to each side of the equation.
-8.5 + 8.5 + 0.85x = 50 + 8.5

Combine like terms: -8.5 + 8.5 = 0.0
0.0 + 0.85x = 50 + 8.5
0.85x = 50 + 8.5

Combine like terms: 50 + 8.5 = 58.5
0.85x = 58.5

Divide each side by '0.85'.
x = 68.82352941

Simplifying
x = 68.82352941

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