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

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


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

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

Combine like terms: 28 + -8 = 20
20 + -1x = 8x + -7

Reorder the terms:
20 + -1x = -7 + 8x

Solving
20 + -1x = -7 + 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.
20 + -1x + -8x = -7 + 8x + -8x

Combine like terms: -1x + -8x = -9x
20 + -9x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -9x = -7 + 0
20 + -9x = -7

Add '-20' to each side of the equation.
20 + -20 + -9x = -7 + -20

Combine like terms: 20 + -20 = 0
0 + -9x = -7 + -20
-9x = -7 + -20

Combine like terms: -7 + -20 = -27
-9x = -27

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

Simplifying
x = 3

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