(17x-3)+(27x+7)=180

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Solution for (17x-3)+(27x+7)=180 equation:


Simplifying
(17x + -3) + (27x + 7) = 180

Reorder the terms:
(-3 + 17x) + (27x + 7) = 180

Remove parenthesis around (-3 + 17x)
-3 + 17x + (27x + 7) = 180

Reorder the terms:
-3 + 17x + (7 + 27x) = 180

Remove parenthesis around (7 + 27x)
-3 + 17x + 7 + 27x = 180

Reorder the terms:
-3 + 7 + 17x + 27x = 180

Combine like terms: -3 + 7 = 4
4 + 17x + 27x = 180

Combine like terms: 17x + 27x = 44x
4 + 44x = 180

Solving
4 + 44x = 180

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 44x = 180 + -4

Combine like terms: 4 + -4 = 0
0 + 44x = 180 + -4
44x = 180 + -4

Combine like terms: 180 + -4 = 176
44x = 176

Divide each side by '44'.
x = 4

Simplifying
x = 4

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