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

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

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

Reorder the terms:
6 + -3 + 14x + -15x = 2

Combine like terms: 6 + -3 = 3
3 + 14x + -15x = 2

Combine like terms: 14x + -15x = -1x
3 + -1x = 2

Solving
3 + -1x = 2

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 + -1x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 2 + -3
-1x = 2 + -3

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

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

Simplifying
x = 1