2x+49=5x+14

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Solution for 2x+49=5x+14 equation:


Simplifying
2x + 49 = 5x + 14

Reorder the terms:
49 + 2x = 5x + 14

Reorder the terms:
49 + 2x = 14 + 5x

Solving
49 + 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.
49 + 2x + -5x = 14 + 5x + -5x

Combine like terms: 2x + -5x = -3x
49 + -3x = 14 + 5x + -5x

Combine like terms: 5x + -5x = 0
49 + -3x = 14 + 0
49 + -3x = 14

Add '-49' to each side of the equation.
49 + -49 + -3x = 14 + -49

Combine like terms: 49 + -49 = 0
0 + -3x = 14 + -49
-3x = 14 + -49

Combine like terms: 14 + -49 = -35
-3x = -35

Divide each side by '-3'.
x = 11.66666667

Simplifying
x = 11.66666667

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