(x+1)+(x+2)+(x+3)=480

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Solution for (x+1)+(x+2)+(x+3)=480 equation:


Simplifying
(x + 1) + (x + 2) + (x + 3) = 480

Reorder the terms:
(1 + x) + (x + 2) + (x + 3) = 480

Remove parenthesis around (1 + x)
1 + x + (x + 2) + (x + 3) = 480

Reorder the terms:
1 + x + (2 + x) + (x + 3) = 480

Remove parenthesis around (2 + x)
1 + x + 2 + x + (x + 3) = 480

Reorder the terms:
1 + x + 2 + x + (3 + x) = 480

Remove parenthesis around (3 + x)
1 + x + 2 + x + 3 + x = 480

Reorder the terms:
1 + 2 + 3 + x + x + x = 480

Combine like terms: 1 + 2 = 3
3 + 3 + x + x + x = 480

Combine like terms: 3 + 3 = 6
6 + x + x + x = 480

Combine like terms: x + x = 2x
6 + 2x + x = 480

Combine like terms: 2x + x = 3x
6 + 3x = 480

Solving
6 + 3x = 480

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 3x = 480 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 480 + -6
3x = 480 + -6

Combine like terms: 480 + -6 = 474
3x = 474

Divide each side by '3'.
x = 158

Simplifying
x = 158

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