28-(x+7)=8x-6

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Solution for 28-(x+7)=8x-6 equation:


Simplifying
28 + -1(x + 7) = 8x + -6

Reorder the terms:
28 + -1(7 + x) = 8x + -6
28 + (7 * -1 + x * -1) = 8x + -6
28 + (-7 + -1x) = 8x + -6

Combine like terms: 28 + -7 = 21
21 + -1x = 8x + -6

Reorder the terms:
21 + -1x = -6 + 8x

Solving
21 + -1x = -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.
21 + -1x + -8x = -6 + 8x + -8x

Combine like terms: -1x + -8x = -9x
21 + -9x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
21 + -9x = -6 + 0
21 + -9x = -6

Add '-21' to each side of the equation.
21 + -21 + -9x = -6 + -21

Combine like terms: 21 + -21 = 0
0 + -9x = -6 + -21
-9x = -6 + -21

Combine like terms: -6 + -21 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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