(2x+8)=(3x+2)

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Solution for (2x+8)=(3x+2) equation:


Simplifying
(2x + 8) = (3x + 2)

Reorder the terms:
(8 + 2x) = (3x + 2)

Remove parenthesis around (8 + 2x)
8 + 2x = (3x + 2)

Reorder the terms:
8 + 2x = (2 + 3x)

Remove parenthesis around (2 + 3x)
8 + 2x = 2 + 3x

Solving
8 + 2x = 2 + 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.
8 + 2x + -3x = 2 + 3x + -3x

Combine like terms: 2x + -3x = -1x
8 + -1x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -1x = 2 + 0
8 + -1x = 2

Add '-8' to each side of the equation.
8 + -8 + -1x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 2 + -8
-1x = 2 + -8

Combine like terms: 2 + -8 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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