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

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


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

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

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

Solving
-6 + 3x = 6 + -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.
-6 + 3x + 2x = 6 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-6 + 5x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 5x = 6 + 0
-6 + 5x = 6

Add '6' to each side of the equation.
-6 + 6 + 5x = 6 + 6

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

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

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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