(x+1)+(x+2)-5=6

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Solution for (x+1)+(x+2)-5=6 equation:


Simplifying
(x + 1) + (x + 2) + -5 = 6

Reorder the terms:
(1 + x) + (x + 2) + -5 = 6

Remove parenthesis around (1 + x)
1 + x + (x + 2) + -5 = 6

Reorder the terms:
1 + x + (2 + x) + -5 = 6

Remove parenthesis around (2 + x)
1 + x + 2 + x + -5 = 6

Reorder the terms:
1 + 2 + -5 + x + x = 6

Combine like terms: 1 + 2 = 3
3 + -5 + x + x = 6

Combine like terms: 3 + -5 = -2
-2 + x + x = 6

Combine like terms: x + x = 2x
-2 + 2x = 6

Solving
-2 + 2x = 6

Solving for variable 'x'.

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

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

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

Combine like terms: 6 + 2 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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