105-2x=5x+14

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Solution for 105-2x=5x+14 equation:


Simplifying
105 + -2x = 5x + 14

Reorder the terms:
105 + -2x = 14 + 5x

Solving
105 + -2x = 14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
105 + -2x + -5x = 14 + 5x + -5x

Combine like terms: -2x + -5x = -7x
105 + -7x = 14 + 5x + -5x

Combine like terms: 5x + -5x = 0
105 + -7x = 14 + 0
105 + -7x = 14

Add '-105' to each side of the equation.
105 + -105 + -7x = 14 + -105

Combine like terms: 105 + -105 = 0
0 + -7x = 14 + -105
-7x = 14 + -105

Combine like terms: 14 + -105 = -91
-7x = -91

Divide each side by '-7'.
x = 13

Simplifying
x = 13

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