(60-x)-6=5(x-6)

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Solution for (60-x)-6=5(x-6) equation:


Simplifying
(60 + -1x) + -6 = 5(x + -6)

Remove parenthesis around (60 + -1x)
60 + -1x + -6 = 5(x + -6)

Reorder the terms:
60 + -6 + -1x = 5(x + -6)

Combine like terms: 60 + -6 = 54
54 + -1x = 5(x + -6)

Reorder the terms:
54 + -1x = 5(-6 + x)
54 + -1x = (-6 * 5 + x * 5)
54 + -1x = (-30 + 5x)

Solving
54 + -1x = -30 + 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.
54 + -1x + -5x = -30 + 5x + -5x

Combine like terms: -1x + -5x = -6x
54 + -6x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
54 + -6x = -30 + 0
54 + -6x = -30

Add '-54' to each side of the equation.
54 + -54 + -6x = -30 + -54

Combine like terms: 54 + -54 = 0
0 + -6x = -30 + -54
-6x = -30 + -54

Combine like terms: -30 + -54 = -84
-6x = -84

Divide each side by '-6'.
x = 14

Simplifying
x = 14

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