3+4x=6(x-1)-x

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Solution for 3+4x=6(x-1)-x equation:


Simplifying
3 + 4x = 6(x + -1) + -1x

Reorder the terms:
3 + 4x = 6(-1 + x) + -1x
3 + 4x = (-1 * 6 + x * 6) + -1x
3 + 4x = (-6 + 6x) + -1x

Combine like terms: 6x + -1x = 5x
3 + 4x = -6 + 5x

Solving
3 + 4x = -6 + 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 + 4x + -5x = -6 + 5x + -5x

Combine like terms: 4x + -5x = -1x
3 + -1x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -1x = -6 + 0
3 + -1x = -6

Add '-3' to each side of the equation.
3 + -3 + -1x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -6 + -3
-1x = -6 + -3

Combine like terms: -6 + -3 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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