(2x+3)=(5x-6)

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Solution for (2x+3)=(5x-6) equation:


Simplifying
(2x + 3) = (5x + -6)

Reorder the terms:
(3 + 2x) = (5x + -6)

Remove parenthesis around (3 + 2x)
3 + 2x = (5x + -6)

Reorder the terms:
3 + 2x = (-6 + 5x)

Remove parenthesis around (-6 + 5x)
3 + 2x = -6 + 5x

Solving
3 + 2x = -6 + 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.
3 + 2x + -5x = -6 + 5x + -5x

Combine like terms: 2x + -5x = -3x
3 + -3x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -3x = -6 + 0
3 + -3x = -6

Add '-3' to each side of the equation.
3 + -3 + -3x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = -6 + -3
-3x = -6 + -3

Combine like terms: -6 + -3 = -9
-3x = -9

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

Simplifying
x = 3

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