2(x+3)=15x-1

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

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

Reorder the terms:
2(3 + x) = 15x + -1
(3 * 2 + x * 2) = 15x + -1
(6 + 2x) = 15x + -1

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

Solving
6 + 2x = -1 + 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 = -1 + 15x + -15x

Combine like terms: 2x + -15x = -13x
6 + -13x = -1 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -13x = -1 + 0
6 + -13x = -1

Add '-6' to each side of the equation.
6 + -6 + -13x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = -1 + -6
-13x = -1 + -6

Combine like terms: -1 + -6 = -7
-13x = -7

Divide each side by '-13'.
x = 0.5384615385

Simplifying
x = 0.5384615385