(3x+2)=(5x-30)

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Solution for (3x+2)=(5x-30) equation:


Simplifying
(3x + 2) = (5x + -30)

Reorder the terms:
(2 + 3x) = (5x + -30)

Remove parenthesis around (2 + 3x)
2 + 3x = (5x + -30)

Reorder the terms:
2 + 3x = (-30 + 5x)

Remove parenthesis around (-30 + 5x)
2 + 3x = -30 + 5x

Solving
2 + 3x = -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.
2 + 3x + -5x = -30 + 5x + -5x

Combine like terms: 3x + -5x = -2x
2 + -2x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -2x = -30 + 0
2 + -2x = -30

Add '-2' to each side of the equation.
2 + -2 + -2x = -30 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -30 + -2
-2x = -30 + -2

Combine like terms: -30 + -2 = -32
-2x = -32

Divide each side by '-2'.
x = 16

Simplifying
x = 16

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