6x-42=8x+6

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Solution for 6x-42=8x+6 equation:


Simplifying
6x + -42 = 8x + 6

Reorder the terms:
-42 + 6x = 8x + 6

Reorder the terms:
-42 + 6x = 6 + 8x

Solving
-42 + 6x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-42 + 6x + -8x = 6 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-42 + -2x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-42 + -2x = 6 + 0
-42 + -2x = 6

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

Combine like terms: -42 + 42 = 0
0 + -2x = 6 + 42
-2x = 6 + 42

Combine like terms: 6 + 42 = 48
-2x = 48

Divide each side by '-2'.
x = -24

Simplifying
x = -24

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