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

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

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

Remove parenthesis around (15x)
2 = 6 + 14x + -1 * 15x

Multiply -1 * 15
2 = 6 + 14x + -15x

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

Solving
2 = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + x = 6 + -1x + x

Combine like terms: -1x + x = 0
2 + x = 6 + 0
2 + x = 6

Add '-2' to each side of the equation.
2 + -2 + x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + x = 6 + -2
x = 6 + -2

Combine like terms: 6 + -2 = 4
x = 4

Simplifying
x = 4