(2x)+(x+10)+(3x-7)=180

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Solution for (2x)+(x+10)+(3x-7)=180 equation:


Simplifying
(2x) + (x + 10) + (3x + -7) = 180

Reorder the terms:
(2x) + (10 + x) + (3x + -7) = 180

Remove parenthesis around (10 + x)
(2x) + 10 + x + (3x + -7) = 180

Reorder the terms:
(2x) + 10 + x + (-7 + 3x) = 180

Remove parenthesis around (-7 + 3x)
(2x) + 10 + x + -7 + 3x = 180

Reorder the terms:
10 + -7 + (2x) + x + 3x = 180

Combine like terms: 10 + -7 = 3
3 + (2x) + x + 3x = 180

Combine like terms: (2x) + x = 3x
3 + 3x + 3x = 180

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

Solving
3 + 6x = 180

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 6x = 180 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = 180 + -3
6x = 180 + -3

Combine like terms: 180 + -3 = 177
6x = 177

Divide each side by '6'.
x = 29.5

Simplifying
x = 29.5

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