6+2x=3(5x+2)

Solution for 6+2x=3(5x+2) equation:

Simplifying
6 + 2x = 3(5x + 2)

Reorder the terms:
6 + 2x = 3(2 + 5x)
6 + 2x = (2 * 3 + 5x * 3)
6 + 2x = (6 + 15x)

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

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

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

Solving
2x = 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.
2x + -15x = 15x + -15x

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

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

Divide each side by '-13'.
x = 0

Simplifying
x = 0