x+(x+3)+(x+5)+(x+7)=440

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Solution for x+(x+3)+(x+5)+(x+7)=440 equation:


Simplifying
x + (x + 3) + (x + 5) + (x + 7) = 440

Reorder the terms:
x + (3 + x) + (x + 5) + (x + 7) = 440

Remove parenthesis around (3 + x)
x + 3 + x + (x + 5) + (x + 7) = 440

Reorder the terms:
x + 3 + x + (5 + x) + (x + 7) = 440

Remove parenthesis around (5 + x)
x + 3 + x + 5 + x + (x + 7) = 440

Reorder the terms:
x + 3 + x + 5 + x + (7 + x) = 440

Remove parenthesis around (7 + x)
x + 3 + x + 5 + x + 7 + x = 440

Reorder the terms:
3 + 5 + 7 + x + x + x + x = 440

Combine like terms: 3 + 5 = 8
8 + 7 + x + x + x + x = 440

Combine like terms: 8 + 7 = 15
15 + x + x + x + x = 440

Combine like terms: x + x = 2x
15 + 2x + x + x = 440

Combine like terms: 2x + x = 3x
15 + 3x + x = 440

Combine like terms: 3x + x = 4x
15 + 4x = 440

Solving
15 + 4x = 440

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 4x = 440 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 440 + -15
4x = 440 + -15

Combine like terms: 440 + -15 = 425
4x = 425

Divide each side by '4'.
x = 106.25

Simplifying
x = 106.25

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