3(1+6x)-(6+7x)=41

Solution for 3(1+6x)-(6+7x)=41 equation:

Simplifying
3(1 + 6x) + -1(6 + 7x) = 41
(1 * 3 + 6x * 3) + -1(6 + 7x) = 41
(3 + 18x) + -1(6 + 7x) = 41
3 + 18x + (6 * -1 + 7x * -1) = 41
3 + 18x + (-6 + -7x) = 41

Reorder the terms:
3 + -6 + 18x + -7x = 41

Combine like terms: 3 + -6 = -3
-3 + 18x + -7x = 41

Combine like terms: 18x + -7x = 11x
-3 + 11x = 41

Solving
-3 + 11x = 41

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 + 11x = 41 + 3

Combine like terms: -3 + 3 = 0
0 + 11x = 41 + 3
11x = 41 + 3

Combine like terms: 41 + 3 = 44
11x = 44

Divide each side by '11'.
x = 4

Simplifying
x = 4