(5x-2)=(3x+14)

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Solution for (5x-2)=(3x+14) equation:


Simplifying
(5x + -2) = (3x + 14)

Reorder the terms:
(-2 + 5x) = (3x + 14)

Remove parenthesis around (-2 + 5x)
-2 + 5x = (3x + 14)

Reorder the terms:
-2 + 5x = (14 + 3x)

Remove parenthesis around (14 + 3x)
-2 + 5x = 14 + 3x

Solving
-2 + 5x = 14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 5x + -3x = 14 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-2 + 2x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 2x = 14 + 0
-2 + 2x = 14

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

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

Combine like terms: 14 + 2 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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