4x-2(x-8)=-2(x+1)+5

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Solution for 4x-2(x-8)=-2(x+1)+5 equation: 


Simplifying
4x + -2(x + -8) = -2(x + 1) + 5

Reorder the terms:
4x + -2(-8 + x) = -2(x + 1) + 5
4x + (-8 * -2 + x * -2) = -2(x + 1) + 5
4x + (16 + -2x) = -2(x + 1) + 5

Reorder the terms:
16 + 4x + -2x = -2(x + 1) + 5

Combine like terms: 4x + -2x = 2x
16 + 2x = -2(x + 1) + 5

Reorder the terms:
16 + 2x = -2(1 + x) + 5
16 + 2x = (1 * -2 + x * -2) + 5
16 + 2x = (-2 + -2x) + 5

Reorder the terms:
16 + 2x = -2 + 5 + -2x

Combine like terms: -2 + 5 = 3
16 + 2x = 3 + -2x

Solving
16 + 2x = 3 + -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.
16 + 2x + 2x = 3 + -2x + 2x

Combine like terms: 2x + 2x = 4x
16 + 4x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
16 + 4x = 3 + 0
16 + 4x = 3

Add '-16' to each side of the equation.
16 + -16 + 4x = 3 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 3 + -16
4x = 3 + -16

Combine like terms: 3 + -16 = -13
4x = -13

Divide each side by '4'.
x = -3.25

Simplifying
x = -3.25

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