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

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


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

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

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

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

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

Solving
2 + 3x = 5 + 2x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -2x = 1x
2 + 1x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 1x = 5 + 0
2 + 1x = 5

Add '-2' to each side of the equation.
2 + -2 + 1x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 5 + -2
1x = 5 + -2

Combine like terms: 5 + -2 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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