6-(x+3)=6x-15-x

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Solution for 6-(x+3)=6x-15-x equation:


Simplifying
6 + -1(x + 3) = 6x + -15 + -1x

Reorder the terms:
6 + -1(3 + x) = 6x + -15 + -1x
6 + (3 * -1 + x * -1) = 6x + -15 + -1x
6 + (-3 + -1x) = 6x + -15 + -1x

Combine like terms: 6 + -3 = 3
3 + -1x = 6x + -15 + -1x

Reorder the terms:
3 + -1x = -15 + 6x + -1x

Combine like terms: 6x + -1x = 5x
3 + -1x = -15 + 5x

Solving
3 + -1x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + -1x + -5x = -15 + 5x + -5x

Combine like terms: -1x + -5x = -6x
3 + -6x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -6x = -15 + 0
3 + -6x = -15

Add '-3' to each side of the equation.
3 + -3 + -6x = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = -15 + -3
-6x = -15 + -3

Combine like terms: -15 + -3 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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