3(x-5)+6=42

Solution for 3(x-5)+6=42 equation:

Simplifying
3(x + -5) + 6 = 42

Reorder the terms:
3(-5 + x) + 6 = 42
(-5 * 3 + x * 3) + 6 = 42
(-15 + 3x) + 6 = 42

Reorder the terms:
-15 + 6 + 3x = 42

Combine like terms: -15 + 6 = -9
-9 + 3x = 42

Solving
-9 + 3x = 42

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 3x = 42 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 42 + 9
3x = 42 + 9

Combine like terms: 42 + 9 = 51
3x = 51

Divide each side by '3'.
x = 17

Simplifying
x = 17