(3x+7)=(2x-5)

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Solution for (3x+7)=(2x-5) equation:


Simplifying
(3x + 7) = (2x + -5)

Reorder the terms:
(7 + 3x) = (2x + -5)

Remove parenthesis around (7 + 3x)
7 + 3x = (2x + -5)

Reorder the terms:
7 + 3x = (-5 + 2x)

Remove parenthesis around (-5 + 2x)
7 + 3x = -5 + 2x

Solving
7 + 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.
7 + 3x + -2x = -5 + 2x + -2x

Combine like terms: 3x + -2x = 1x
7 + 1x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 1x = -5 + 0
7 + 1x = -5

Add '-7' to each side of the equation.
7 + -7 + 1x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = -5 + -7
1x = -5 + -7

Combine like terms: -5 + -7 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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