(5x+6)-2x=(x-6)+24

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Solution for (5x+6)-2x=(x-6)+24 equation:


Simplifying
(5x + 6) + -2x = (x + -6) + 24

Reorder the terms:
(6 + 5x) + -2x = (x + -6) + 24

Remove parenthesis around (6 + 5x)
6 + 5x + -2x = (x + -6) + 24

Combine like terms: 5x + -2x = 3x
6 + 3x = (x + -6) + 24

Reorder the terms:
6 + 3x = (-6 + x) + 24

Remove parenthesis around (-6 + x)
6 + 3x = -6 + x + 24

Reorder the terms:
6 + 3x = -6 + 24 + x

Combine like terms: -6 + 24 = 18
6 + 3x = 18 + x

Solving
6 + 3x = 18 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 3x + -1x = 18 + x + -1x

Combine like terms: 3x + -1x = 2x
6 + 2x = 18 + x + -1x

Combine like terms: x + -1x = 0
6 + 2x = 18 + 0
6 + 2x = 18

Add '-6' to each side of the equation.
6 + -6 + 2x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 18 + -6
2x = 18 + -6

Combine like terms: 18 + -6 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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