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

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


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

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

Reorder the terms:
-3 + 3x + -2(1 + 2x) = (x + -1)
-3 + 3x + (1 * -2 + 2x * -2) = (x + -1)
-3 + 3x + (-2 + -4x) = (x + -1)

Reorder the terms:
-3 + -2 + 3x + -4x = (x + -1)

Combine like terms: -3 + -2 = -5
-5 + 3x + -4x = (x + -1)

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

Reorder the terms:
-5 + -1x = (-1 + x)

Remove parenthesis around (-1 + x)
-5 + -1x = -1 + x

Solving
-5 + -1x = -1 + 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.
-5 + -1x + -1x = -1 + x + -1x

Combine like terms: -1x + -1x = -2x
-5 + -2x = -1 + x + -1x

Combine like terms: x + -1x = 0
-5 + -2x = -1 + 0
-5 + -2x = -1

Add '5' to each side of the equation.
-5 + 5 + -2x = -1 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = -1 + 5
-2x = -1 + 5

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

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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