x+60=6(x-60)

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Solution for x+60=6(x-60) equation:


Simplifying
x + 60 = 6(x + -60)

Reorder the terms:
60 + x = 6(x + -60)

Reorder the terms:
60 + x = 6(-60 + x)
60 + x = (-60 * 6 + x * 6)
60 + x = (-360 + 6x)

Solving
60 + x = -360 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
60 + x + -6x = -360 + 6x + -6x

Combine like terms: x + -6x = -5x
60 + -5x = -360 + 6x + -6x

Combine like terms: 6x + -6x = 0
60 + -5x = -360 + 0
60 + -5x = -360

Add '-60' to each side of the equation.
60 + -60 + -5x = -360 + -60

Combine like terms: 60 + -60 = 0
0 + -5x = -360 + -60
-5x = -360 + -60

Combine like terms: -360 + -60 = -420
-5x = -420

Divide each side by '-5'.
x = 84

Simplifying
x = 84

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