(2x+24)+(4x-36)+6x=180

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Solution for (2x+24)+(4x-36)+6x=180 equation:


Simplifying
(2x + 24) + (4x + -36) + 6x = 180

Reorder the terms:
(24 + 2x) + (4x + -36) + 6x = 180

Remove parenthesis around (24 + 2x)
24 + 2x + (4x + -36) + 6x = 180

Reorder the terms:
24 + 2x + (-36 + 4x) + 6x = 180

Remove parenthesis around (-36 + 4x)
24 + 2x + -36 + 4x + 6x = 180

Reorder the terms:
24 + -36 + 2x + 4x + 6x = 180

Combine like terms: 24 + -36 = -12
-12 + 2x + 4x + 6x = 180

Combine like terms: 2x + 4x = 6x
-12 + 6x + 6x = 180

Combine like terms: 6x + 6x = 12x
-12 + 12x = 180

Solving
-12 + 12x = 180

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 12x = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 12x = 180 + 12
12x = 180 + 12

Combine like terms: 180 + 12 = 192
12x = 192

Divide each side by '12'.
x = 16

Simplifying
x = 16

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