5x+6=64-9x

Solution for 5x+6=64-9x equation:

Simplifying
5x + 6 = 64 + -9x

Reorder the terms:
6 + 5x = 64 + -9x

Solving
6 + 5x = 64 + -9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9x' to each side of the equation.
6 + 5x + 9x = 64 + -9x + 9x

Combine like terms: 5x + 9x = 14x
6 + 14x = 64 + -9x + 9x

Combine like terms: -9x + 9x = 0
6 + 14x = 64 + 0
6 + 14x = 64

Add '-6' to each side of the equation.
6 + -6 + 14x = 64 + -6

Combine like terms: 6 + -6 = 0
0 + 14x = 64 + -6
14x = 64 + -6

Combine like terms: 64 + -6 = 58
14x = 58

Divide each side by '14'.
x = 4.142857143

Simplifying
x = 4.142857143