(17x+1)+(5x+10)+(3x-6)=180

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Solution for (17x+1)+(5x+10)+(3x-6)=180 equation:


Simplifying
(17x + 1) + (5x + 10) + (3x + -6) = 180

Reorder the terms:
(1 + 17x) + (5x + 10) + (3x + -6) = 180

Remove parenthesis around (1 + 17x)
1 + 17x + (5x + 10) + (3x + -6) = 180

Reorder the terms:
1 + 17x + (10 + 5x) + (3x + -6) = 180

Remove parenthesis around (10 + 5x)
1 + 17x + 10 + 5x + (3x + -6) = 180

Reorder the terms:
1 + 17x + 10 + 5x + (-6 + 3x) = 180

Remove parenthesis around (-6 + 3x)
1 + 17x + 10 + 5x + -6 + 3x = 180

Reorder the terms:
1 + 10 + -6 + 17x + 5x + 3x = 180

Combine like terms: 1 + 10 = 11
11 + -6 + 17x + 5x + 3x = 180

Combine like terms: 11 + -6 = 5
5 + 17x + 5x + 3x = 180

Combine like terms: 17x + 5x = 22x
5 + 22x + 3x = 180

Combine like terms: 22x + 3x = 25x
5 + 25x = 180

Solving
5 + 25x = 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 + 25x = 180 + -5

Combine like terms: 5 + -5 = 0
0 + 25x = 180 + -5
25x = 180 + -5

Combine like terms: 180 + -5 = 175
25x = 175

Divide each side by '25'.
x = 7

Simplifying
x = 7

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