2(x-2)=2x+8-3(-2x-1)

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Solution for 2(x-2)=2x+8-3(-2x-1) equation:


Simplifying
2(x + -2) = 2x + 8 + -3(-2x + -1)

Reorder the terms:
2(-2 + x) = 2x + 8 + -3(-2x + -1)
(-2 * 2 + x * 2) = 2x + 8 + -3(-2x + -1)
(-4 + 2x) = 2x + 8 + -3(-2x + -1)

Reorder the terms:
-4 + 2x = 2x + 8 + -3(-1 + -2x)
-4 + 2x = 2x + 8 + (-1 * -3 + -2x * -3)
-4 + 2x = 2x + 8 + (3 + 6x)

Reorder the terms:
-4 + 2x = 8 + 3 + 2x + 6x

Combine like terms: 8 + 3 = 11
-4 + 2x = 11 + 2x + 6x

Combine like terms: 2x + 6x = 8x
-4 + 2x = 11 + 8x

Solving
-4 + 2x = 11 + 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.
-4 + 2x + -8x = 11 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-4 + -6x = 11 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -6x = 11 + 0
-4 + -6x = 11

Add '4' to each side of the equation.
-4 + 4 + -6x = 11 + 4

Combine like terms: -4 + 4 = 0
0 + -6x = 11 + 4
-6x = 11 + 4

Combine like terms: 11 + 4 = 15
-6x = 15

Divide each side by '-6'.
x = -2.5

Simplifying
x = -2.5

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