5-2(3x-8)=x-(2x-6)

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Solution for 5-2(3x-8)=x-(2x-6) equation: 


Simplifying
5 + -2(3x + -8) = x + -1(2x + -6)

Reorder the terms:
5 + -2(-8 + 3x) = x + -1(2x + -6)
5 + (-8 * -2 + 3x * -2) = x + -1(2x + -6)
5 + (16 + -6x) = x + -1(2x + -6)

Combine like terms: 5 + 16 = 21
21 + -6x = x + -1(2x + -6)

Reorder the terms:
21 + -6x = x + -1(-6 + 2x)
21 + -6x = x + (-6 * -1 + 2x * -1)
21 + -6x = x + (6 + -2x)

Reorder the terms:
21 + -6x = 6 + x + -2x

Combine like terms: x + -2x = -1x
21 + -6x = 6 + -1x

Solving
21 + -6x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
21 + -6x + x = 6 + -1x + x

Combine like terms: -6x + x = -5x
21 + -5x = 6 + -1x + x

Combine like terms: -1x + x = 0
21 + -5x = 6 + 0
21 + -5x = 6

Add '-21' to each side of the equation.
21 + -21 + -5x = 6 + -21

Combine like terms: 21 + -21 = 0
0 + -5x = 6 + -21
-5x = 6 + -21

Combine like terms: 6 + -21 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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