4x+14=56-2x

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Solution for 4x+14=56-2x equation:


Simplifying
4x + 14 = 56 + -2x

Reorder the terms:
14 + 4x = 56 + -2x

Solving
14 + 4x = 56 + -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 + 4x + 2x = 56 + -2x + 2x

Combine like terms: 4x + 2x = 6x
14 + 6x = 56 + -2x + 2x

Combine like terms: -2x + 2x = 0
14 + 6x = 56 + 0
14 + 6x = 56

Add '-14' to each side of the equation.
14 + -14 + 6x = 56 + -14

Combine like terms: 14 + -14 = 0
0 + 6x = 56 + -14
6x = 56 + -14

Combine like terms: 56 + -14 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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