2x+14=9x-7

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Solution for 2x+14=9x-7 equation:


Simplifying
2x + 14 = 9x + -7

Reorder the terms:
14 + 2x = 9x + -7

Reorder the terms:
14 + 2x = -7 + 9x

Solving
14 + 2x = -7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
14 + 2x + -9x = -7 + 9x + -9x

Combine like terms: 2x + -9x = -7x
14 + -7x = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
14 + -7x = -7 + 0
14 + -7x = -7

Add '-14' to each side of the equation.
14 + -14 + -7x = -7 + -14

Combine like terms: 14 + -14 = 0
0 + -7x = -7 + -14
-7x = -7 + -14

Combine like terms: -7 + -14 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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