6x-28=x+42

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Solution for 6x-28=x+42 equation:


Simplifying
6x + -28 = x + 42

Reorder the terms:
-28 + 6x = x + 42

Reorder the terms:
-28 + 6x = 42 + x

Solving
-28 + 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.
-28 + 6x + -1x = 42 + x + -1x

Combine like terms: 6x + -1x = 5x
-28 + 5x = 42 + x + -1x

Combine like terms: x + -1x = 0
-28 + 5x = 42 + 0
-28 + 5x = 42

Add '28' to each side of the equation.
-28 + 28 + 5x = 42 + 28

Combine like terms: -28 + 28 = 0
0 + 5x = 42 + 28
5x = 42 + 28

Combine like terms: 42 + 28 = 70
5x = 70

Divide each side by '5'.
x = 14

Simplifying
x = 14

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