2(x-8)=-4(2x-1)

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Solution for 2(x-8)=-4(2x-1) equation:


Simplifying
2(x + -8) = -4(2x + -1)

Reorder the terms:
2(-8 + x) = -4(2x + -1)
(-8 * 2 + x * 2) = -4(2x + -1)
(-16 + 2x) = -4(2x + -1)

Reorder the terms:
-16 + 2x = -4(-1 + 2x)
-16 + 2x = (-1 * -4 + 2x * -4)
-16 + 2x = (4 + -8x)

Solving
-16 + 2x = 4 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-16 + 2x + 8x = 4 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-16 + 10x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
-16 + 10x = 4 + 0
-16 + 10x = 4

Add '16' to each side of the equation.
-16 + 16 + 10x = 4 + 16

Combine like terms: -16 + 16 = 0
0 + 10x = 4 + 16
10x = 4 + 16

Combine like terms: 4 + 16 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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