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

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


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

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

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

Reorder the terms:
-6 + 5x = -3(-2 + x)
-6 + 5x = (-2 * -3 + x * -3)
-6 + 5x = (6 + -3x)

Solving
-6 + 5x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-6 + 5x + 3x = 6 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-6 + 8x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 8x = 6 + 0
-6 + 8x = 6

Add '6' to each side of the equation.
-6 + 6 + 8x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 6 + 6
8x = 6 + 6

Combine like terms: 6 + 6 = 12
8x = 12

Divide each side by '8'.
x = 1.5

Simplifying
x = 1.5

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