6x+13x-9=15-17x+14x-2

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Solution for 6x+13x-9=15-17x+14x-2 equation:


Simplifying
6x + 13x + -9 = 15 + -17x + 14x + -2

Reorder the terms:
-9 + 6x + 13x = 15 + -17x + 14x + -2

Combine like terms: 6x + 13x = 19x
-9 + 19x = 15 + -17x + 14x + -2

Reorder the terms:
-9 + 19x = 15 + -2 + -17x + 14x

Combine like terms: 15 + -2 = 13
-9 + 19x = 13 + -17x + 14x

Combine like terms: -17x + 14x = -3x
-9 + 19x = 13 + -3x

Solving
-9 + 19x = 13 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-9 + 19x + 3x = 13 + -3x + 3x

Combine like terms: 19x + 3x = 22x
-9 + 22x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + 22x = 13 + 0
-9 + 22x = 13

Add '9' to each side of the equation.
-9 + 9 + 22x = 13 + 9

Combine like terms: -9 + 9 = 0
0 + 22x = 13 + 9
22x = 13 + 9

Combine like terms: 13 + 9 = 22
22x = 22

Divide each side by '22'.
x = 1

Simplifying
x = 1

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