7x-114=2x-9

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Solution for 7x-114=2x-9 equation:


Simplifying
7x + -114 = 2x + -9

Reorder the terms:
-114 + 7x = 2x + -9

Reorder the terms:
-114 + 7x = -9 + 2x

Solving
-114 + 7x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-114 + 7x + -2x = -9 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-114 + 5x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-114 + 5x = -9 + 0
-114 + 5x = -9

Add '114' to each side of the equation.
-114 + 114 + 5x = -9 + 114

Combine like terms: -114 + 114 = 0
0 + 5x = -9 + 114
5x = -9 + 114

Combine like terms: -9 + 114 = 105
5x = 105

Divide each side by '5'.
x = 21

Simplifying
x = 21

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