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

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


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

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

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

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

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

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

Combine like terms: 4 + 5 = 9
9 + x + 2x + 6x = 180

Combine like terms: x + 2x = 3x
9 + 3x + 6x = 180

Combine like terms: 3x + 6x = 9x
9 + 9x = 180

Solving
9 + 9x = 180

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 9x = 180 + -9

Combine like terms: 9 + -9 = 0
0 + 9x = 180 + -9
9x = 180 + -9

Combine like terms: 180 + -9 = 171
9x = 171

Divide each side by '9'.
x = 19

Simplifying
x = 19

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