x+3=2(3x-3)

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


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

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

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

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

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

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

Add '-3' to each side of the equation.
3 + -3 + -5x = -6 + -3

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

Combine like terms: -6 + -3 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

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