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

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


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

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

Reorder the terms:
5 + 2x = 3(-3 + 2x)
5 + 2x = (-3 * 3 + 2x * 3)
5 + 2x = (-9 + 6x)

Solving
5 + 2x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5 + 2x + -6x = -9 + 6x + -6x

Combine like terms: 2x + -6x = -4x
5 + -4x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + -4x = -9 + 0
5 + -4x = -9

Add '-5' to each side of the equation.
5 + -5 + -4x = -9 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = -9 + -5
-4x = -9 + -5

Combine like terms: -9 + -5 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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