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

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


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

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

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

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

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

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

Combine like terms: 7 + -2 = 5
5 + x + x + 3x = 180

Combine like terms: x + x = 2x
5 + 2x + 3x = 180

Combine like terms: 2x + 3x = 5x
5 + 5x = 180

Solving
5 + 5x = 180

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 5x = 180 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 180 + -5
5x = 180 + -5

Combine like terms: 180 + -5 = 175
5x = 175

Divide each side by '5'.
x = 35

Simplifying
x = 35

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