3-(x-1)=5x+6-7x

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Solution for 3-(x-1)=5x+6-7x equation:


Simplifying
3 + -1(x + -1) = 5x + 6 + -7x

Reorder the terms:
3 + -1(-1 + x) = 5x + 6 + -7x
3 + (-1 * -1 + x * -1) = 5x + 6 + -7x
3 + (1 + -1x) = 5x + 6 + -7x

Combine like terms: 3 + 1 = 4
4 + -1x = 5x + 6 + -7x

Reorder the terms:
4 + -1x = 6 + 5x + -7x

Combine like terms: 5x + -7x = -2x
4 + -1x = 6 + -2x

Solving
4 + -1x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
4 + -1x + 2x = 6 + -2x + 2x

Combine like terms: -1x + 2x = 1x
4 + 1x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 1x = 6 + 0
4 + 1x = 6

Add '-4' to each side of the equation.
4 + -4 + 1x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 6 + -4
1x = 6 + -4

Combine like terms: 6 + -4 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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