x+2=3(2x-3)

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


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

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

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

Solving
2 + x = -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.
2 + x + -6x = -9 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
2 + -5x = -9 + 0
2 + -5x = -9

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

Combine like terms: 2 + -2 = 0
0 + -5x = -9 + -2
-5x = -9 + -2

Combine like terms: -9 + -2 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2

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