(x+5)+[(x+40)5]=600

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Solution for (x+5)+[(x+40)5]=600 equation:


Simplifying
(x + 5) + [(x + 40) * 5] = 600

Reorder the terms:
(5 + x) + [(x + 40) * 5] = 600

Remove parenthesis around (5 + x)
5 + x + [(x + 40) * 5] = 600

Reorder the terms:
5 + x + [(40 + x) * 5] = 600

Reorder the terms for easier multiplication:
5 + x + [5(40 + x)] = 600
5 + x + [(40 * 5 + x * 5)] = 600
5 + x + [(200 + 5x)] = 600
5 + x + [200 + 5x] = 600

Remove brackets around [200 + 5x]
5 + x + 200 + 5x = 600

Reorder the terms:
5 + 200 + x + 5x = 600

Combine like terms: 5 + 200 = 205
205 + x + 5x = 600

Combine like terms: x + 5x = 6x
205 + 6x = 600

Solving
205 + 6x = 600

Solving for variable 'x'.

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

Add '-205' to each side of the equation.
205 + -205 + 6x = 600 + -205

Combine like terms: 205 + -205 = 0
0 + 6x = 600 + -205
6x = 600 + -205

Combine like terms: 600 + -205 = 395
6x = 395

Divide each side by '6'.
x = 65.83333333

Simplifying
x = 65.83333333

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