8x-2=52-x

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Solution for 8x-2=52-x equation:


Simplifying
8x + -2 = 52 + -1x

Reorder the terms:
-2 + 8x = 52 + -1x

Solving
-2 + 8x = 52 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 8x + x = 52 + -1x + x

Combine like terms: 8x + x = 9x
-2 + 9x = 52 + -1x + x

Combine like terms: -1x + x = 0
-2 + 9x = 52 + 0
-2 + 9x = 52

Add '2' to each side of the equation.
-2 + 2 + 9x = 52 + 2

Combine like terms: -2 + 2 = 0
0 + 9x = 52 + 2
9x = 52 + 2

Combine like terms: 52 + 2 = 54
9x = 54

Divide each side by '9'.
x = 6

Simplifying
x = 6

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