9x+2=14x-13

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


Simplifying
9x + 2 = 14x + -13

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

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

Solving
2 + 9x = -13 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
2 + 9x + -14x = -13 + 14x + -14x

Combine like terms: 9x + -14x = -5x
2 + -5x = -13 + 14x + -14x

Combine like terms: 14x + -14x = 0
2 + -5x = -13 + 0
2 + -5x = -13

Add '-2' to each side of the equation.
2 + -2 + -5x = -13 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -13 + -2
-5x = -13 + -2

Combine like terms: -13 + -2 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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