3x+14=49-2x

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Solution for 3x+14=49-2x equation:


Simplifying
3x + 14 = 49 + -2x

Reorder the terms:
14 + 3x = 49 + -2x

Solving
14 + 3x = 49 + -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.
14 + 3x + 2x = 49 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
14 + 5x = 49 + 0
14 + 5x = 49

Add '-14' to each side of the equation.
14 + -14 + 5x = 49 + -14

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

Combine like terms: 49 + -14 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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