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

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


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

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

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

Solving
-12 + 6x = -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.
-12 + 6x + 3x = -6 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-12 + 9x = -6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 9x = -6 + 0
-12 + 9x = -6

Add '12' to each side of the equation.
-12 + 12 + 9x = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 9x = -6 + 12
9x = -6 + 12

Combine like terms: -6 + 12 = 6
9x = 6

Divide each side by '9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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