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

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


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

Reorder the terms:
6 + -2(-5 + x) = 3x + -1(x + -8)
6 + (-5 * -2 + x * -2) = 3x + -1(x + -8)
6 + (10 + -2x) = 3x + -1(x + -8)

Combine like terms: 6 + 10 = 16
16 + -2x = 3x + -1(x + -8)

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

Reorder the terms:
16 + -2x = 8 + 3x + -1x

Combine like terms: 3x + -1x = 2x
16 + -2x = 8 + 2x

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

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

Combine like terms: 2x + -2x = 0
16 + -4x = 8 + 0
16 + -4x = 8

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

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

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

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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