(2x+28)=(5x-2)

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Solution for (2x+28)=(5x-2) equation:


Simplifying
(2x + 28) = (5x + -2)

Reorder the terms:
(28 + 2x) = (5x + -2)

Remove parenthesis around (28 + 2x)
28 + 2x = (5x + -2)

Reorder the terms:
28 + 2x = (-2 + 5x)

Remove parenthesis around (-2 + 5x)
28 + 2x = -2 + 5x

Solving
28 + 2x = -2 + 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.
28 + 2x + -5x = -2 + 5x + -5x

Combine like terms: 2x + -5x = -3x
28 + -3x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
28 + -3x = -2 + 0
28 + -3x = -2

Add '-28' to each side of the equation.
28 + -28 + -3x = -2 + -28

Combine like terms: 28 + -28 = 0
0 + -3x = -2 + -28
-3x = -2 + -28

Combine like terms: -2 + -28 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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