13x+14-2(x-3)+5-3x=113

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Solution for 13x+14-2(x-3)+5-3x=113 equation: 


Simplifying
13x + 14 + -2(x + -3) + 5 + -3x = 113

Reorder the terms:
13x + 14 + -2(-3 + x) + 5 + -3x = 113
13x + 14 + (-3 * -2 + x * -2) + 5 + -3x = 113
13x + 14 + (6 + -2x) + 5 + -3x = 113

Reorder the terms:
14 + 6 + 5 + 13x + -2x + -3x = 113

Combine like terms: 14 + 6 = 20
20 + 5 + 13x + -2x + -3x = 113

Combine like terms: 20 + 5 = 25
25 + 13x + -2x + -3x = 113

Combine like terms: 13x + -2x = 11x
25 + 11x + -3x = 113

Combine like terms: 11x + -3x = 8x
25 + 8x = 113

Solving
25 + 8x = 113

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + 8x = 113 + -25

Combine like terms: 25 + -25 = 0
0 + 8x = 113 + -25
8x = 113 + -25

Combine like terms: 113 + -25 = 88
8x = 88

Divide each side by '8'.
x = 11

Simplifying
x = 11

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