6x-54=-2x-6

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Solution for 6x-54=-2x-6 equation:


Simplifying
6x + -54 = -2x + -6

Reorder the terms:
-54 + 6x = -2x + -6

Reorder the terms:
-54 + 6x = -6 + -2x

Solving
-54 + 6x = -6 + -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.
-54 + 6x + 2x = -6 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-54 + 8x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-54 + 8x = -6 + 0
-54 + 8x = -6

Add '54' to each side of the equation.
-54 + 54 + 8x = -6 + 54

Combine like terms: -54 + 54 = 0
0 + 8x = -6 + 54
8x = -6 + 54

Combine like terms: -6 + 54 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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