3(2x+1)-(x-1)=-1

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Solution for 3(2x+1)-(x-1)=-1 equation:


Simplifying
3(2x + 1) + -1(x + -1) = -1

Reorder the terms:
3(1 + 2x) + -1(x + -1) = -1
(1 * 3 + 2x * 3) + -1(x + -1) = -1
(3 + 6x) + -1(x + -1) = -1

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

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

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

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

Solving
4 + 5x = -1

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 5x = -1 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = -1 + -4
5x = -1 + -4

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

Divide each side by '5'.
x = -1

Simplifying
x = -1

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