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

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


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

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

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

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

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

Solving
3 + 3x = 12 + -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.
3 + 3x + 2x = 12 + -2x + 2x

Combine like terms: 3x + 2x = 5x
3 + 5x = 12 + -2x + 2x

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

Divide each side by '5'.
x = 1.8

Simplifying
x = 1.8

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