x+(6x+5)+(x-17)=180

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Solution for x+(6x+5)+(x-17)=180 equation: 


Simplifying
x + (6x + 5) + (x + -17) = 180

Reorder the terms:
x + (5 + 6x) + (x + -17) = 180

Remove parenthesis around (5 + 6x)
x + 5 + 6x + (x + -17) = 180

Reorder the terms:
x + 5 + 6x + (-17 + x) = 180

Remove parenthesis around (-17 + x)
x + 5 + 6x + -17 + x = 180

Reorder the terms:
5 + -17 + x + 6x + x = 180

Combine like terms: 5 + -17 = -12
-12 + x + 6x + x = 180

Combine like terms: x + 6x = 7x
-12 + 7x + x = 180

Combine like terms: 7x + x = 8x
-12 + 8x = 180

Solving
-12 + 8x = 180

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 8x = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 180 + 12
8x = 180 + 12

Combine like terms: 180 + 12 = 192
8x = 192

Divide each side by '8'.
x = 24

Simplifying
x = 24

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