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

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


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

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

Reorder the terms:
-8 + 4x = -4(-2 + 3x)
-8 + 4x = (-2 * -4 + 3x * -4)
-8 + 4x = (8 + -12x)

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

Solving for variable 'x'.

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

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

Combine like terms: 4x + 12x = 16x
-8 + 16x = 8 + -12x + 12x

Combine like terms: -12x + 12x = 0
-8 + 16x = 8 + 0
-8 + 16x = 8

Add '8' to each side of the equation.
-8 + 8 + 16x = 8 + 8

Combine like terms: -8 + 8 = 0
0 + 16x = 8 + 8
16x = 8 + 8

Combine like terms: 8 + 8 = 16
16x = 16

Divide each side by '16'.
x = 1

Simplifying
x = 1

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