(9x+3)+(8x-6)=31

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Solution for (9x+3)+(8x-6)=31 equation:


Simplifying
(9x + 3) + (8x + -6) = 31

Reorder the terms:
(3 + 9x) + (8x + -6) = 31

Remove parenthesis around (3 + 9x)
3 + 9x + (8x + -6) = 31

Reorder the terms:
3 + 9x + (-6 + 8x) = 31

Remove parenthesis around (-6 + 8x)
3 + 9x + -6 + 8x = 31

Reorder the terms:
3 + -6 + 9x + 8x = 31

Combine like terms: 3 + -6 = -3
-3 + 9x + 8x = 31

Combine like terms: 9x + 8x = 17x
-3 + 17x = 31

Solving
-3 + 17x = 31

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 17x = 31 + 3

Combine like terms: -3 + 3 = 0
0 + 17x = 31 + 3
17x = 31 + 3

Combine like terms: 31 + 3 = 34
17x = 34

Divide each side by '17'.
x = 2

Simplifying
x = 2

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