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

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Solution for 4(x-2)=-2(3x+3) equation:


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

Reorder the terms:
4(-2 + x) = -2(3x + 3)
(-2 * 4 + x * 4) = -2(3x + 3)
(-8 + 4x) = -2(3x + 3)

Reorder the terms:
-8 + 4x = -2(3 + 3x)
-8 + 4x = (3 * -2 + 3x * -2)
-8 + 4x = (-6 + -6x)

Solving
-8 + 4x = -6 + -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.
-8 + 4x + 6x = -6 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-8 + 10x = -6 + -6x + 6x

Combine like terms: -6x + 6x = 0
-8 + 10x = -6 + 0
-8 + 10x = -6

Add '8' to each side of the equation.
-8 + 8 + 10x = -6 + 8

Combine like terms: -8 + 8 = 0
0 + 10x = -6 + 8
10x = -6 + 8

Combine like terms: -6 + 8 = 2
10x = 2

Divide each side by '10'.
x = 0.2

Simplifying
x = 0.2

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