6-9x=42-16x

Solution for 6-9x=42-16x equation:

Simplifying
6 + -9x = 42 + -16x

Solving
6 + -9x = 42 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
6 + -9x + 16x = 42 + -16x + 16x

Combine like terms: -9x + 16x = 7x
6 + 7x = 42 + -16x + 16x

Combine like terms: -16x + 16x = 0
6 + 7x = 42 + 0
6 + 7x = 42

Add '-6' to each side of the equation.
6 + -6 + 7x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 42 + -6
7x = 42 + -6

Combine like terms: 42 + -6 = 36
7x = 36

Divide each side by '7'.
x = 5.142857143

Simplifying
x = 5.142857143