x+(x+1)+(x+7)+(x+8)=40

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Solution for x+(x+1)+(x+7)+(x+8)=40 equation: 


Simplifying
x + (x + 1) + (x + 7) + (x + 8) = 40

Reorder the terms:
x + (1 + x) + (x + 7) + (x + 8) = 40

Remove parenthesis around (1 + x)
x + 1 + x + (x + 7) + (x + 8) = 40

Reorder the terms:
x + 1 + x + (7 + x) + (x + 8) = 40

Remove parenthesis around (7 + x)
x + 1 + x + 7 + x + (x + 8) = 40

Reorder the terms:
x + 1 + x + 7 + x + (8 + x) = 40

Remove parenthesis around (8 + x)
x + 1 + x + 7 + x + 8 + x = 40

Reorder the terms:
1 + 7 + 8 + x + x + x + x = 40

Combine like terms: 1 + 7 = 8
8 + 8 + x + x + x + x = 40

Combine like terms: 8 + 8 = 16
16 + x + x + x + x = 40

Combine like terms: x + x = 2x
16 + 2x + x + x = 40

Combine like terms: 2x + x = 3x
16 + 3x + x = 40

Combine like terms: 3x + x = 4x
16 + 4x = 40

Solving
16 + 4x = 40

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 4x = 40 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 40 + -16
4x = 40 + -16

Combine like terms: 40 + -16 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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