2(x+3)=15x-2

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

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

Reorder the terms:
2(3 + x) = 15x + -2
(3 * 2 + x * 2) = 15x + -2
(6 + 2x) = 15x + -2

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

Solving
6 + 2x = -2 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + 2x + -15x = -2 + 15x + -15x

Combine like terms: 2x + -15x = -13x
6 + -13x = -2 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -13x = -2 + 0
6 + -13x = -2

Add '-6' to each side of the equation.
6 + -6 + -13x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = -2 + -6
-13x = -2 + -6

Combine like terms: -2 + -6 = -8
-13x = -8

Divide each side by '-13'.
x = 0.6153846154

Simplifying
x = 0.6153846154