x+(x-5)+(x-42)=150

Solution for x+(x-5)+(x-42)=150 equation:

Simplifying
x + (x + -5) + (x + -42) = 150

Reorder the terms:
x + (-5 + x) + (x + -42) = 150

Remove parenthesis around (-5 + x)
x + -5 + x + (x + -42) = 150

Reorder the terms:
x + -5 + x + (-42 + x) = 150

Remove parenthesis around (-42 + x)
x + -5 + x + -42 + x = 150

Reorder the terms:
-5 + -42 + x + x + x = 150

Combine like terms: -5 + -42 = -47
-47 + x + x + x = 150

Combine like terms: x + x = 2x
-47 + 2x + x = 150

Combine like terms: 2x + x = 3x
-47 + 3x = 150

Solving
-47 + 3x = 150

Solving for variable 'x'.

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

Add '47' to each side of the equation.
-47 + 47 + 3x = 150 + 47

Combine like terms: -47 + 47 = 0
0 + 3x = 150 + 47
3x = 150 + 47

Combine like terms: 150 + 47 = 197
3x = 197

Divide each side by '3'.
x = 65.66666667

Simplifying
x = 65.66666667