6x-3[14-(8-x)]=x

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Solution for 6x-3[14-(8-x)]=x equation:


Simplifying
6x + -3[14 + -1(8 + -1x)] = x
6x + -3[14 + (8 * -1 + -1x * -1)] = x
6x + -3[14 + (-8 + 1x)] = x

Combine like terms: 14 + -8 = 6
6x + -3[6 + 1x] = x
6x + [6 * -3 + 1x * -3] = x
6x + [-18 + -3x] = x

Reorder the terms:
-18 + 6x + -3x = x

Combine like terms: 6x + -3x = 3x
-18 + 3x = x

Solving
-18 + 3x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-18 + 3x + -1x = x + -1x

Combine like terms: 3x + -1x = 2x
-18 + 2x = x + -1x

Combine like terms: x + -1x = 0
-18 + 2x = 0

Add '18' to each side of the equation.
-18 + 18 + 2x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 0 + 18
2x = 0 + 18

Combine like terms: 0 + 18 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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