0.85*(x-108)=0.65(x-81)

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Solution for 0.85*(x-108)=0.65(x-81) equation: 


Simplifying
0.85(x + -108) = 0.65(x + -81)

Reorder the terms:
0.85(-108 + x) = 0.65(x + -81)
(-108 * 0.85 + x * 0.85) = 0.65(x + -81)
(-91.8 + 0.85x) = 0.65(x + -81)

Reorder the terms:
-91.8 + 0.85x = 0.65(-81 + x)
-91.8 + 0.85x = (-81 * 0.65 + x * 0.65)
-91.8 + 0.85x = (-52.65 + 0.65x)

Solving
-91.8 + 0.85x = -52.65 + 0.65x

Solving for variable 'x'.

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

Add '-0.65x' to each side of the equation.
-91.8 + 0.85x + -0.65x = -52.65 + 0.65x + -0.65x

Combine like terms: 0.85x + -0.65x = 0.2x
-91.8 + 0.2x = -52.65 + 0.65x + -0.65x

Combine like terms: 0.65x + -0.65x = 0.00
-91.8 + 0.2x = -52.65 + 0.00
-91.8 + 0.2x = -52.65

Add '91.8' to each side of the equation.
-91.8 + 91.8 + 0.2x = -52.65 + 91.8

Combine like terms: -91.8 + 91.8 = 0.0
0.0 + 0.2x = -52.65 + 91.8
0.2x = -52.65 + 91.8

Combine like terms: -52.65 + 91.8 = 39.15
0.2x = 39.15

Divide each side by '0.2'.
x = 195.75

Simplifying
x = 195.75

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