2x+14=74-4x

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Solution for 2x+14=74-4x equation:


Simplifying
2x + 14 = 74 + -4x

Reorder the terms:
14 + 2x = 74 + -4x

Solving
14 + 2x = 74 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
14 + 2x + 4x = 74 + -4x + 4x

Combine like terms: 2x + 4x = 6x
14 + 6x = 74 + -4x + 4x

Combine like terms: -4x + 4x = 0
14 + 6x = 74 + 0
14 + 6x = 74

Add '-14' to each side of the equation.
14 + -14 + 6x = 74 + -14

Combine like terms: 14 + -14 = 0
0 + 6x = 74 + -14
6x = 74 + -14

Combine like terms: 74 + -14 = 60
6x = 60

Divide each side by '6'.
x = 10

Simplifying
x = 10

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