x+(7x-5)+(3x-2)=180

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Solution for x+(7x-5)+(3x-2)=180 equation:


Simplifying
x + (7x + -5) + (3x + -2) = 180

Reorder the terms:
x + (-5 + 7x) + (3x + -2) = 180

Remove parenthesis around (-5 + 7x)
x + -5 + 7x + (3x + -2) = 180

Reorder the terms:
x + -5 + 7x + (-2 + 3x) = 180

Remove parenthesis around (-2 + 3x)
x + -5 + 7x + -2 + 3x = 180

Reorder the terms:
-5 + -2 + x + 7x + 3x = 180

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

Combine like terms: x + 7x = 8x
-7 + 8x + 3x = 180

Combine like terms: 8x + 3x = 11x
-7 + 11x = 180

Solving
-7 + 11x = 180

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 11x = 180 + 7

Combine like terms: -7 + 7 = 0
0 + 11x = 180 + 7
11x = 180 + 7

Combine like terms: 180 + 7 = 187
11x = 187

Divide each side by '11'.
x = 17

Simplifying
x = 17

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