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

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


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

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

Remove parenthesis around (2 + X)
2 + X + -1(x + 1) = 2(x + -3)

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

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

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

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

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

Solving for variable 'X'.

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

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

Reorder the terms:
1 + -1 + X + -1x = -6 + -1 + 2x

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

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

Add 'x' to each side of the equation.
X + -1x + x = -7 + 2x + x

Combine like terms: -1x + x = 0
X + 0 = -7 + 2x + x
X = -7 + 2x + x

Combine like terms: 2x + x = 3x
X = -7 + 3x

Simplifying
X = -7 + 3x

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