37-(x+9)=8x-8

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Solution for 37-(x+9)=8x-8 equation:


Simplifying
37 + -1(x + 9) = 8x + -8

Reorder the terms:
37 + -1(9 + x) = 8x + -8
37 + (9 * -1 + x * -1) = 8x + -8
37 + (-9 + -1x) = 8x + -8

Combine like terms: 37 + -9 = 28
28 + -1x = 8x + -8

Reorder the terms:
28 + -1x = -8 + 8x

Solving
28 + -1x = -8 + 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.
28 + -1x + -8x = -8 + 8x + -8x

Combine like terms: -1x + -8x = -9x
28 + -9x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
28 + -9x = -8 + 0
28 + -9x = -8

Add '-28' to each side of the equation.
28 + -28 + -9x = -8 + -28

Combine like terms: 28 + -28 = 0
0 + -9x = -8 + -28
-9x = -8 + -28

Combine like terms: -8 + -28 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4

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