6x-42=2x-2

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Solution for 6x-42=2x-2 equation:


Simplifying
6x + -42 = 2x + -2

Reorder the terms:
-42 + 6x = 2x + -2

Reorder the terms:
-42 + 6x = -2 + 2x

Solving
-42 + 6x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-42 + 6x + -2x = -2 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-42 + 4x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-42 + 4x = -2 + 0
-42 + 4x = -2

Add '42' to each side of the equation.
-42 + 42 + 4x = -2 + 42

Combine like terms: -42 + 42 = 0
0 + 4x = -2 + 42
4x = -2 + 42

Combine like terms: -2 + 42 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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