5x-6=x+42

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Solution for 5x-6=x+42 equation:


Simplifying
5x + -6 = x + 42

Reorder the terms:
-6 + 5x = x + 42

Reorder the terms:
-6 + 5x = 42 + x

Solving
-6 + 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.
-6 + 5x + -1x = 42 + x + -1x

Combine like terms: 5x + -1x = 4x
-6 + 4x = 42 + x + -1x

Combine like terms: x + -1x = 0
-6 + 4x = 42 + 0
-6 + 4x = 42

Add '6' to each side of the equation.
-6 + 6 + 4x = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 42 + 6
4x = 42 + 6

Combine like terms: 42 + 6 = 48
4x = 48

Divide each side by '4'.
x = 12

Simplifying
x = 12

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