(6x+10)+(9x-17)=180

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Solution for (6x+10)+(9x-17)=180 equation:


Simplifying
(6x + 10) + (9x + -17) = 180

Reorder the terms:
(10 + 6x) + (9x + -17) = 180

Remove parenthesis around (10 + 6x)
10 + 6x + (9x + -17) = 180

Reorder the terms:
10 + 6x + (-17 + 9x) = 180

Remove parenthesis around (-17 + 9x)
10 + 6x + -17 + 9x = 180

Reorder the terms:
10 + -17 + 6x + 9x = 180

Combine like terms: 10 + -17 = -7
-7 + 6x + 9x = 180

Combine like terms: 6x + 9x = 15x
-7 + 15x = 180

Solving
-7 + 15x = 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 + 15x = 180 + 7

Combine like terms: -7 + 7 = 0
0 + 15x = 180 + 7
15x = 180 + 7

Combine like terms: 180 + 7 = 187
15x = 187

Divide each side by '15'.
x = 12.46666667

Simplifying
x = 12.46666667

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