8x+6=5(3x+9)

Solution for 8x+6=5(3x+9) equation:

Simplifying
8x + 6 = 5(3x + 9)

Reorder the terms:
6 + 8x = 5(3x + 9)

Reorder the terms:
6 + 8x = 5(9 + 3x)
6 + 8x = (9 * 5 + 3x * 5)
6 + 8x = (45 + 15x)

Solving
6 + 8x = 45 + 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 + 8x + -15x = 45 + 15x + -15x

Combine like terms: 8x + -15x = -7x
6 + -7x = 45 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -7x = 45 + 0
6 + -7x = 45

Add '-6' to each side of the equation.
6 + -6 + -7x = 45 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 45 + -6
-7x = 45 + -6

Combine like terms: 45 + -6 = 39
-7x = 39

Divide each side by '-7'.
x = -5.571428571

Simplifying
x = -5.571428571