3(x+4)=2(6-x)

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Solution for 3(x+4)=2(6-x) equation:


Simplifying
3(x + 4) = 2(6 + -1x)

Reorder the terms:
3(4 + x) = 2(6 + -1x)
(4 * 3 + x * 3) = 2(6 + -1x)
(12 + 3x) = 2(6 + -1x)
12 + 3x = (6 * 2 + -1x * 2)
12 + 3x = (12 + -2x)

Add '-12' to each side of the equation.
12 + -12 + 3x = 12 + -12 + -2x

Combine like terms: 12 + -12 = 0
0 + 3x = 12 + -12 + -2x
3x = 12 + -12 + -2x

Combine like terms: 12 + -12 = 0
3x = 0 + -2x
3x = -2x

Solving
3x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
3x + 2x = -2x + 2x

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

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

Divide each side by '5'.
x = 0

Simplifying
x = 0

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