(6x-58)+(2x+4)+5x=180

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Solution for (6x-58)+(2x+4)+5x=180 equation:


Simplifying
(6x + -58) + (2x + 4) + 5x = 180

Reorder the terms:
(-58 + 6x) + (2x + 4) + 5x = 180

Remove parenthesis around (-58 + 6x)
-58 + 6x + (2x + 4) + 5x = 180

Reorder the terms:
-58 + 6x + (4 + 2x) + 5x = 180

Remove parenthesis around (4 + 2x)
-58 + 6x + 4 + 2x + 5x = 180

Reorder the terms:
-58 + 4 + 6x + 2x + 5x = 180

Combine like terms: -58 + 4 = -54
-54 + 6x + 2x + 5x = 180

Combine like terms: 6x + 2x = 8x
-54 + 8x + 5x = 180

Combine like terms: 8x + 5x = 13x
-54 + 13x = 180

Solving
-54 + 13x = 180

Solving for variable 'x'.

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

Add '54' to each side of the equation.
-54 + 54 + 13x = 180 + 54

Combine like terms: -54 + 54 = 0
0 + 13x = 180 + 54
13x = 180 + 54

Combine like terms: 180 + 54 = 234
13x = 234

Divide each side by '13'.
x = 18

Simplifying
x = 18

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