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

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

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

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

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

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

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

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

Solving
3 + -1X + 2x = 5 + 5x

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + -1X + -3 + 2x = 5 + -3 + 5x

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

Combine like terms: 3 + -3 = 0
0 + -1X + 2x = 5 + -3 + 5x
-1X + 2x = 5 + -3 + 5x

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

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

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

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

Divide each side by '-1'.
X = -2 + -3x

Simplifying
X = -2 + -3x