120-5.5(x-45)=75-x

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Solution for 120-5.5(x-45)=75-x equation: 


Simplifying
120 + -5.5(x + -45) = 75 + -1x

Reorder the terms:
120 + -5.5(-45 + x) = 75 + -1x
120 + (-45 * -5.5 + x * -5.5) = 75 + -1x
120 + (247.5 + -5.5x) = 75 + -1x

Combine like terms: 120 + 247.5 = 367.5
367.5 + -5.5x = 75 + -1x

Solving
367.5 + -5.5x = 75 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
367.5 + -5.5x + x = 75 + -1x + x

Combine like terms: -5.5x + x = -4.5x
367.5 + -4.5x = 75 + -1x + x

Combine like terms: -1x + x = 0
367.5 + -4.5x = 75 + 0
367.5 + -4.5x = 75

Add '-367.5' to each side of the equation.
367.5 + -367.5 + -4.5x = 75 + -367.5

Combine like terms: 367.5 + -367.5 = 0.0
0.0 + -4.5x = 75 + -367.5
-4.5x = 75 + -367.5

Combine like terms: 75 + -367.5 = -292.5
-4.5x = -292.5

Divide each side by '-4.5'.
x = 65

Simplifying
x = 65

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