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

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


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

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

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

Combine like terms: 6 + -6 = 0
0 + 3x = -2(x + -3) + 4
3x = -2(x + -3) + 4

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

Reorder the terms:
3x = 6 + 4 + -2x

Combine like terms: 6 + 4 = 10
3x = 10 + -2x

Solving
3x = 10 + -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 = 10 + -2x + 2x

Combine like terms: 3x + 2x = 5x
5x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
5x = 10 + 0
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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