2(3+7x)-(1+15x)=2

Solution for 2(3+7x)-(1+15x)=2 equation:

Simplifying
2(3 + 7x) + -1(1 + 15x) = 2
(3 * 2 + 7x * 2) + -1(1 + 15x) = 2
(6 + 14x) + -1(1 + 15x) = 2
6 + 14x + (1 * -1 + 15x * -1) = 2
6 + 14x + (-1 + -15x) = 2

Reorder the terms:
6 + -1 + 14x + -15x = 2

Combine like terms: 6 + -1 = 5
5 + 14x + -15x = 2

Combine like terms: 14x + -15x = -1x
5 + -1x = 2

Solving
5 + -1x = 2

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 2 + -5
-1x = 2 + -5

Combine like terms: 2 + -5 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3