3(x)+3(x+1)=42

Solution for 3(x)+3(x+1)=42 equation:

Simplifying
3(x) + 3(x + 1) = 42

Reorder the terms:
3x + 3(1 + x) = 42
3x + (1 * 3 + x * 3) = 42
3x + (3 + 3x) = 42

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

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

Solving
3 + 6x = 42

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 6x = 42 + -3

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

Combine like terms: 42 + -3 = 39
6x = 39

Divide each side by '6'.
x = 6.5

Simplifying
x = 6.5