6x-[2x-(x-8)]=10-x

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Solution for 6x-[2x-(x-8)]=10-x equation:


Simplifying
6x + -1[2x + -1(x + -8)] = 10 + -1x

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

Reorder the terms:
6x + -1[8 + 2x + -1x] = 10 + -1x

Combine like terms: 2x + -1x = 1x
6x + -1[8 + 1x] = 10 + -1x
6x + [8 * -1 + 1x * -1] = 10 + -1x
6x + [-8 + -1x] = 10 + -1x

Reorder the terms:
-8 + 6x + -1x = 10 + -1x

Combine like terms: 6x + -1x = 5x
-8 + 5x = 10 + -1x

Solving
-8 + 5x = 10 + -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.
-8 + 5x + x = 10 + -1x + x

Combine like terms: 5x + x = 6x
-8 + 6x = 10 + -1x + x

Combine like terms: -1x + x = 0
-8 + 6x = 10 + 0
-8 + 6x = 10

Add '8' to each side of the equation.
-8 + 8 + 6x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 10 + 8
6x = 10 + 8

Combine like terms: 10 + 8 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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