(x+14)=(5x-30)

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Solution for (x+14)=(5x-30) equation:


Simplifying
(x + 14) = (5x + -30)

Reorder the terms:
(14 + x) = (5x + -30)

Remove parenthesis around (14 + x)
14 + x = (5x + -30)

Reorder the terms:
14 + x = (-30 + 5x)

Remove parenthesis around (-30 + 5x)
14 + x = -30 + 5x

Solving
14 + x = -30 + 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 + x + -5x = -30 + 5x + -5x

Combine like terms: x + -5x = -4x
14 + -4x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -4x = -30 + 0
14 + -4x = -30

Add '-14' to each side of the equation.
14 + -14 + -4x = -30 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = -30 + -14
-4x = -30 + -14

Combine like terms: -30 + -14 = -44
-4x = -44

Divide each side by '-4'.
x = 11

Simplifying
x = 11

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