3x-2(x+1)-1=5(x-1)+2

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Solution for 3x-2(x+1)-1=5(x-1)+2 equation:


Simplifying
3x + -2(x + 1) + -1 = 5(x + -1) + 2

Reorder the terms:
3x + -2(1 + x) + -1 = 5(x + -1) + 2
3x + (1 * -2 + x * -2) + -1 = 5(x + -1) + 2
3x + (-2 + -2x) + -1 = 5(x + -1) + 2

Reorder the terms:
-2 + -1 + 3x + -2x = 5(x + -1) + 2

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

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

Reorder the terms:
-3 + 1x = 5(-1 + x) + 2
-3 + 1x = (-1 * 5 + x * 5) + 2
-3 + 1x = (-5 + 5x) + 2

Reorder the terms:
-3 + 1x = -5 + 2 + 5x

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

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

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

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

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

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

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

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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