9x+13=13(2x-4)+31

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Solution for 9x+13=13(2x-4)+31 equation:


Simplifying
9x + 13 = 13(2x + -4) + 31

Reorder the terms:
13 + 9x = 13(2x + -4) + 31

Reorder the terms:
13 + 9x = 13(-4 + 2x) + 31
13 + 9x = (-4 * 13 + 2x * 13) + 31
13 + 9x = (-52 + 26x) + 31

Reorder the terms:
13 + 9x = -52 + 31 + 26x

Combine like terms: -52 + 31 = -21
13 + 9x = -21 + 26x

Solving
13 + 9x = -21 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
13 + 9x + -26x = -21 + 26x + -26x

Combine like terms: 9x + -26x = -17x
13 + -17x = -21 + 26x + -26x

Combine like terms: 26x + -26x = 0
13 + -17x = -21 + 0
13 + -17x = -21

Add '-13' to each side of the equation.
13 + -13 + -17x = -21 + -13

Combine like terms: 13 + -13 = 0
0 + -17x = -21 + -13
-17x = -21 + -13

Combine like terms: -21 + -13 = -34
-17x = -34

Divide each side by '-17'.
x = 2

Simplifying
x = 2

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