6x-3=x+42

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Solution for 6x-3=x+42 equation:


Simplifying
6x + -3 = x + 42

Reorder the terms:
-3 + 6x = x + 42

Reorder the terms:
-3 + 6x = 42 + x

Solving
-3 + 6x = 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.
-3 + 6x + -1x = 42 + x + -1x

Combine like terms: 6x + -1x = 5x
-3 + 5x = 42 + x + -1x

Combine like terms: x + -1x = 0
-3 + 5x = 42 + 0
-3 + 5x = 42

Add '3' to each side of the equation.
-3 + 3 + 5x = 42 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 42 + 3
5x = 42 + 3

Combine like terms: 42 + 3 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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