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

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Solution for 17-(x+6)=8x-7 equation:


Simplifying
17 + -1(x + 6) = 8x + -7

Reorder the terms:
17 + -1(6 + x) = 8x + -7
17 + (6 * -1 + x * -1) = 8x + -7
17 + (-6 + -1x) = 8x + -7

Combine like terms: 17 + -6 = 11
11 + -1x = 8x + -7

Reorder the terms:
11 + -1x = -7 + 8x

Solving
11 + -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.
11 + -1x + -8x = -7 + 8x + -8x

Combine like terms: -1x + -8x = -9x
11 + -9x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
11 + -9x = -7 + 0
11 + -9x = -7

Add '-11' to each side of the equation.
11 + -11 + -9x = -7 + -11

Combine like terms: 11 + -11 = 0
0 + -9x = -7 + -11
-9x = -7 + -11

Combine like terms: -7 + -11 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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