4(x-8)=-2(x+28)

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Solution for 4(x-8)=-2(x+28) equation:


Simplifying
4(x + -8) = -2(x + 28)

Reorder the terms:
4(-8 + x) = -2(x + 28)
(-8 * 4 + x * 4) = -2(x + 28)
(-32 + 4x) = -2(x + 28)

Reorder the terms:
-32 + 4x = -2(28 + x)
-32 + 4x = (28 * -2 + x * -2)
-32 + 4x = (-56 + -2x)

Solving
-32 + 4x = -56 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-32 + 4x + 2x = -56 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-32 + 6x = -56 + -2x + 2x

Combine like terms: -2x + 2x = 0
-32 + 6x = -56 + 0
-32 + 6x = -56

Add '32' to each side of the equation.
-32 + 32 + 6x = -56 + 32

Combine like terms: -32 + 32 = 0
0 + 6x = -56 + 32
6x = -56 + 32

Combine like terms: -56 + 32 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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