52=.889(x-45)+90

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Solution for 52=.889(x-45)+90 equation: 


Simplifying
52 = 0.889(x + -45) + 90

Reorder the terms:
52 = 0.889(-45 + x) + 90
52 = (-45 * 0.889 + x * 0.889) + 90
52 = (-40.005 + 0.889x) + 90

Reorder the terms:
52 = -40.005 + 90 + 0.889x

Combine like terms: -40.005 + 90 = 49.995
52 = 49.995 + 0.889x

Solving
52 = 49.995 + 0.889x

Solving for variable 'x'.

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

Add '-0.889x' to each side of the equation.
52 + -0.889x = 49.995 + 0.889x + -0.889x

Combine like terms: 0.889x + -0.889x = 0.000
52 + -0.889x = 49.995 + 0.000
52 + -0.889x = 49.995

Add '-52' to each side of the equation.
52 + -52 + -0.889x = 49.995 + -52

Combine like terms: 52 + -52 = 0
0 + -0.889x = 49.995 + -52
-0.889x = 49.995 + -52

Combine like terms: 49.995 + -52 = -2.005
-0.889x = -2.005

Divide each side by '-0.889'.
x = 2.255343082

Simplifying
x = 2.255343082

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