16x-78=x+42

Solution for 16x-78=x+42 equation:

Simplifying
16x + -78 = x + 42

Reorder the terms:
-78 + 16x = x + 42

Reorder the terms:
-78 + 16x = 42 + x

Solving
-78 + 16x = 42 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-78 + 16x + -1x = 42 + x + -1x

Combine like terms: 16x + -1x = 15x
-78 + 15x = 42 + x + -1x

Combine like terms: x + -1x = 0
-78 + 15x = 42 + 0
-78 + 15x = 42

Add '78' to each side of the equation.
-78 + 78 + 15x = 42 + 78

Combine like terms: -78 + 78 = 0
0 + 15x = 42 + 78
15x = 42 + 78

Combine like terms: 42 + 78 = 120
15x = 120

Divide each side by '15'.
x = 8

Simplifying
x = 8