2(x+3)+7x=42

Solution for 2(x+3)+7x=42 equation:

Simplifying
2(x + 3) + 7x = 42

Reorder the terms:
2(3 + x) + 7x = 42
(3 * 2 + x * 2) + 7x = 42
(6 + 2x) + 7x = 42

Combine like terms: 2x + 7x = 9x
6 + 9x = 42

Solving
6 + 9x = 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 + 9x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = 42 + -6
9x = 42 + -6

Combine like terms: 42 + -6 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4