3x+5-6x=14-13x+10-9

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Solution for 3x+5-6x=14-13x+10-9 equation:


Simplifying
3x + 5 + -6x = 14 + -13x + 10 + -9

Reorder the terms:
5 + 3x + -6x = 14 + -13x + 10 + -9

Combine like terms: 3x + -6x = -3x
5 + -3x = 14 + -13x + 10 + -9

Reorder the terms:
5 + -3x = 14 + 10 + -9 + -13x

Combine like terms: 14 + 10 = 24
5 + -3x = 24 + -9 + -13x

Combine like terms: 24 + -9 = 15
5 + -3x = 15 + -13x

Solving
5 + -3x = 15 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
5 + -3x + 13x = 15 + -13x + 13x

Combine like terms: -3x + 13x = 10x
5 + 10x = 15 + -13x + 13x

Combine like terms: -13x + 13x = 0
5 + 10x = 15 + 0
5 + 10x = 15

Add '-5' to each side of the equation.
5 + -5 + 10x = 15 + -5

Combine like terms: 5 + -5 = 0
0 + 10x = 15 + -5
10x = 15 + -5

Combine like terms: 15 + -5 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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