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

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


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

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

Reorder the terms:
-8 + 4x = -4(3 + x)
-8 + 4x = (3 * -4 + x * -4)
-8 + 4x = (-12 + -4x)

Solving
-8 + 4x = -12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-8 + 4x + 4x = -12 + -4x + 4x

Combine like terms: 4x + 4x = 8x
-8 + 8x = -12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-8 + 8x = -12 + 0
-8 + 8x = -12

Add '8' to each side of the equation.
-8 + 8 + 8x = -12 + 8

Combine like terms: -8 + 8 = 0
0 + 8x = -12 + 8
8x = -12 + 8

Combine like terms: -12 + 8 = -4
8x = -4

Divide each side by '8'.
x = -0.5

Simplifying
x = -0.5

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