(x+7)6=15x

Solution for (x+7)6=15x equation:

Simplifying
(x + 7) * 6 = 15x

Reorder the terms:
(7 + x) * 6 = 15x

Reorder the terms for easier multiplication:
6(7 + x) = 15x
(7 * 6 + x * 6) = 15x
(42 + 6x) = 15x

Solving
42 + 6x = 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.
42 + 6x + -15x = 15x + -15x

Combine like terms: 6x + -15x = -9x
42 + -9x = 15x + -15x

Combine like terms: 15x + -15x = 0
42 + -9x = 0

Add '-42' to each side of the equation.
42 + -42 + -9x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -9x = 0 + -42
-9x = 0 + -42

Combine like terms: 0 + -42 = -42
-9x = -42

Divide each side by '-9'.
x = 4.666666667

Simplifying
x = 4.666666667