2x+14=84-5x

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Solution for 2x+14=84-5x equation:


Simplifying
2x + 14 = 84 + -5x

Reorder the terms:
14 + 2x = 84 + -5x

Solving
14 + 2x = 84 + -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.
14 + 2x + 5x = 84 + -5x + 5x

Combine like terms: 2x + 5x = 7x
14 + 7x = 84 + -5x + 5x

Combine like terms: -5x + 5x = 0
14 + 7x = 84 + 0
14 + 7x = 84

Add '-14' to each side of the equation.
14 + -14 + 7x = 84 + -14

Combine like terms: 14 + -14 = 0
0 + 7x = 84 + -14
7x = 84 + -14

Combine like terms: 84 + -14 = 70
7x = 70

Divide each side by '7'.
x = 10

Simplifying
x = 10

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