x+6=3(5x-2)

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

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

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

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

Solving
6 + x = -6 + 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 + x + -15x = -6 + 15x + -15x

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

Combine like terms: 15x + -15x = 0
6 + -14x = -6 + 0
6 + -14x = -6

Add '-6' to each side of the equation.
6 + -6 + -14x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -14x = -6 + -6
-14x = -6 + -6

Combine like terms: -6 + -6 = -12
-14x = -12

Divide each side by '-14'.
x = 0.8571428571

Simplifying
x = 0.8571428571