x*5-42=42+x

Solution for x*5-42=42+x equation:

Simplifying
x * 5 + -42 = 42 + x

Reorder the terms for easier multiplication:
5x + -42 = 42 + x

Reorder the terms:
-42 + 5x = 42 + x

Solving
-42 + 5x = 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.
-42 + 5x + -1x = 42 + x + -1x

Combine like terms: 5x + -1x = 4x
-42 + 4x = 42 + x + -1x

Combine like terms: x + -1x = 0
-42 + 4x = 42 + 0
-42 + 4x = 42

Add '42' to each side of the equation.
-42 + 42 + 4x = 42 + 42

Combine like terms: -42 + 42 = 0
0 + 4x = 42 + 42
4x = 42 + 42

Combine like terms: 42 + 42 = 84
4x = 84

Divide each side by '4'.
x = 21

Simplifying
x = 21