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

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


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

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

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

Reorder the terms:
-4 + 2x = 2 + 4 + 2x + 16x

Combine like terms: 2 + 4 = 6
-4 + 2x = 6 + 2x + 16x

Combine like terms: 2x + 16x = 18x
-4 + 2x = 6 + 18x

Solving
-4 + 2x = 6 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-4 + 2x + -18x = 6 + 18x + -18x

Combine like terms: 2x + -18x = -16x
-4 + -16x = 6 + 18x + -18x

Combine like terms: 18x + -18x = 0
-4 + -16x = 6 + 0
-4 + -16x = 6

Add '4' to each side of the equation.
-4 + 4 + -16x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -16x = 6 + 4
-16x = 6 + 4

Combine like terms: 6 + 4 = 10
-16x = 10

Divide each side by '-16'.
x = -0.625

Simplifying
x = -0.625

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