x+3=3(2x-4)

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Solution for x+3=3(2x-4) equation:


Simplifying
x + 3 = 3(2x + -4)

Reorder the terms:
3 + x = 3(2x + -4)

Reorder the terms:
3 + x = 3(-4 + 2x)
3 + x = (-4 * 3 + 2x * 3)
3 + x = (-12 + 6x)

Solving
3 + x = -12 + 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 = -12 + 6x + -6x

Combine like terms: x + -6x = -5x
3 + -5x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -5x = -12 + 0
3 + -5x = -12

Add '-3' to each side of the equation.
3 + -3 + -5x = -12 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = -12 + -3
-5x = -12 + -3

Combine like terms: -12 + -3 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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