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

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


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

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

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

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

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

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

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

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

Solving
12 + 7x = 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 + 7x = 180 + -12

Combine like terms: 12 + -12 = 0
0 + 7x = 180 + -12
7x = 180 + -12

Combine like terms: 180 + -12 = 168
7x = 168

Divide each side by '7'.
x = 24

Simplifying
x = 24

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