(x-3)+(2x-3)=42

Solution for (x-3)+(2x-3)=42 equation:

Simplifying
(x + -3) + (2x + -3) = 42

Reorder the terms:
(-3 + x) + (2x + -3) = 42

Remove parenthesis around (-3 + x)
-3 + x + (2x + -3) = 42

Reorder the terms:
-3 + x + (-3 + 2x) = 42

Remove parenthesis around (-3 + 2x)
-3 + x + -3 + 2x = 42

Reorder the terms:
-3 + -3 + x + 2x = 42

Combine like terms: -3 + -3 = -6
-6 + x + 2x = 42

Combine like terms: x + 2x = 3x
-6 + 3x = 42

Solving
-6 + 3x = 42

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 = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 42 + 6
3x = 42 + 6

Combine like terms: 42 + 6 = 48
3x = 48

Divide each side by '3'.
x = 16

Simplifying
x = 16