(x)+(x+6)+(2x+10)=180

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Solution for (x)+(x+6)+(2x+10)=180 equation:


Simplifying
(x) + (x + 6) + (2x + 10) = 180
x + (x + 6) + (2x + 10) = 180

Reorder the terms:
x + (6 + x) + (2x + 10) = 180

Remove parenthesis around (6 + x)
x + 6 + x + (2x + 10) = 180

Reorder the terms:
x + 6 + x + (10 + 2x) = 180

Remove parenthesis around (10 + 2x)
x + 6 + x + 10 + 2x = 180

Reorder the terms:
6 + 10 + x + x + 2x = 180

Combine like terms: 6 + 10 = 16
16 + x + x + 2x = 180

Combine like terms: x + x = 2x
16 + 2x + 2x = 180

Combine like terms: 2x + 2x = 4x
16 + 4x = 180

Solving
16 + 4x = 180

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 4x = 180 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 180 + -16
4x = 180 + -16

Combine like terms: 180 + -16 = 164
4x = 164

Divide each side by '4'.
x = 41

Simplifying
x = 41

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