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

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


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

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

Reorder the terms:
6 + 3x = 6(-3 + x)
6 + 3x = (-3 * 6 + x * 6)
6 + 3x = (-18 + 6x)

Solving
6 + 3x = -18 + 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.
6 + 3x + -6x = -18 + 6x + -6x

Combine like terms: 3x + -6x = -3x
6 + -3x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -3x = -18 + 0
6 + -3x = -18

Add '-6' to each side of the equation.
6 + -6 + -3x = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -18 + -6
-3x = -18 + -6

Combine like terms: -18 + -6 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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