x+(x+3)+(x+2)+(x+7)=40

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Solution for x+(x+3)+(x+2)+(x+7)=40 equation:


Simplifying
x + (x + 3) + (x + 2) + (x + 7) = 40

Reorder the terms:
x + (3 + x) + (x + 2) + (x + 7) = 40

Remove parenthesis around (3 + x)
x + 3 + x + (x + 2) + (x + 7) = 40

Reorder the terms:
x + 3 + x + (2 + x) + (x + 7) = 40

Remove parenthesis around (2 + x)
x + 3 + x + 2 + x + (x + 7) = 40

Reorder the terms:
x + 3 + x + 2 + x + (7 + x) = 40

Remove parenthesis around (7 + x)
x + 3 + x + 2 + x + 7 + x = 40

Reorder the terms:
3 + 2 + 7 + x + x + x + x = 40

Combine like terms: 3 + 2 = 5
5 + 7 + x + x + x + x = 40

Combine like terms: 5 + 7 = 12
12 + x + x + x + x = 40

Combine like terms: x + x = 2x
12 + 2x + x + x = 40

Combine like terms: 2x + x = 3x
12 + 3x + x = 40

Combine like terms: 3x + x = 4x
12 + 4x = 40

Solving
12 + 4x = 40

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 4x = 40 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 40 + -12
4x = 40 + -12

Combine like terms: 40 + -12 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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