17-(x+6)=7x-5

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Solution for 17-(x+6)=7x-5 equation: 


Simplifying
17 + -1(x + 6) = 7x + -5

Reorder the terms:
17 + -1(6 + x) = 7x + -5
17 + (6 * -1 + x * -1) = 7x + -5
17 + (-6 + -1x) = 7x + -5

Combine like terms: 17 + -6 = 11
11 + -1x = 7x + -5

Reorder the terms:
11 + -1x = -5 + 7x

Solving
11 + -1x = -5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
11 + -1x + -7x = -5 + 7x + -7x

Combine like terms: -1x + -7x = -8x
11 + -8x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
11 + -8x = -5 + 0
11 + -8x = -5

Add '-11' to each side of the equation.
11 + -11 + -8x = -5 + -11

Combine like terms: 11 + -11 = 0
0 + -8x = -5 + -11
-8x = -5 + -11

Combine like terms: -5 + -11 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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