x+(x+1)+(x+2)+(x+3)+2=40

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Solution for x+(x+1)+(x+2)+(x+3)+2=40 equation:


Simplifying
x + (x + 1) + (x + 2) + (x + 3) + 2 = 40

Reorder the terms:
x + (1 + x) + (x + 2) + (x + 3) + 2 = 40

Remove parenthesis around (1 + x)
x + 1 + x + (x + 2) + (x + 3) + 2 = 40

Reorder the terms:
x + 1 + x + (2 + x) + (x + 3) + 2 = 40

Remove parenthesis around (2 + x)
x + 1 + x + 2 + x + (x + 3) + 2 = 40

Reorder the terms:
x + 1 + x + 2 + x + (3 + x) + 2 = 40

Remove parenthesis around (3 + x)
x + 1 + x + 2 + x + 3 + x + 2 = 40

Reorder the terms:
1 + 2 + 3 + 2 + x + x + x + x = 40

Combine like terms: 1 + 2 = 3
3 + 3 + 2 + x + x + x + x = 40

Combine like terms: 3 + 3 = 6
6 + 2 + x + x + x + x = 40

Combine like terms: 6 + 2 = 8
8 + x + x + x + x = 40

Combine like terms: x + x = 2x
8 + 2x + x + x = 40

Combine like terms: 2x + x = 3x
8 + 3x + x = 40

Combine like terms: 3x + x = 4x
8 + 4x = 40

Solving
8 + 4x = 40

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 4x = 40 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 40 + -8
4x = 40 + -8

Combine like terms: 40 + -8 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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