(3x+14)=(8x-76)

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Solution for (3x+14)=(8x-76) equation:


Simplifying
(3x + 14) = (8x + -76)

Reorder the terms:
(14 + 3x) = (8x + -76)

Remove parenthesis around (14 + 3x)
14 + 3x = (8x + -76)

Reorder the terms:
14 + 3x = (-76 + 8x)

Remove parenthesis around (-76 + 8x)
14 + 3x = -76 + 8x

Solving
14 + 3x = -76 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
14 + 3x + -8x = -76 + 8x + -8x

Combine like terms: 3x + -8x = -5x
14 + -5x = -76 + 8x + -8x

Combine like terms: 8x + -8x = 0
14 + -5x = -76 + 0
14 + -5x = -76

Add '-14' to each side of the equation.
14 + -14 + -5x = -76 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = -76 + -14
-5x = -76 + -14

Combine like terms: -76 + -14 = -90
-5x = -90

Divide each side by '-5'.
x = 18

Simplifying
x = 18

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