(6x-8)-(x+4)=6-x

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Solution for (6x-8)-(x+4)=6-x equation:


Simplifying
(6x + -8) + -1(x + 4) = 6 + -1x

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

Remove parenthesis around (-8 + 6x)
-8 + 6x + -1(x + 4) = 6 + -1x

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

Reorder the terms:
-8 + -4 + 6x + -1x = 6 + -1x

Combine like terms: -8 + -4 = -12
-12 + 6x + -1x = 6 + -1x

Combine like terms: 6x + -1x = 5x
-12 + 5x = 6 + -1x

Solving
-12 + 5x = 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.
-12 + 5x + x = 6 + -1x + x

Combine like terms: 5x + x = 6x
-12 + 6x = 6 + -1x + x

Combine like terms: -1x + x = 0
-12 + 6x = 6 + 0
-12 + 6x = 6

Add '12' to each side of the equation.
-12 + 12 + 6x = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 6 + 12
6x = 6 + 12

Combine like terms: 6 + 12 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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