120=5(x-60)+45

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Solution for 120=5(x-60)+45 equation: 


Simplifying
120 = 5(x + -60) + 45

Reorder the terms:
120 = 5(-60 + x) + 45
120 = (-60 * 5 + x * 5) + 45
120 = (-300 + 5x) + 45

Reorder the terms:
120 = -300 + 45 + 5x

Combine like terms: -300 + 45 = -255
120 = -255 + 5x

Solving
120 = -255 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
120 + -5x = -255 + 5x + -5x

Combine like terms: 5x + -5x = 0
120 + -5x = -255 + 0
120 + -5x = -255

Add '-120' to each side of the equation.
120 + -120 + -5x = -255 + -120

Combine like terms: 120 + -120 = 0
0 + -5x = -255 + -120
-5x = -255 + -120

Combine like terms: -255 + -120 = -375
-5x = -375

Divide each side by '-5'.
x = 75

Simplifying
x = 75

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