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

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


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

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

Combine like terms: 17 + -8 = 9
9 + -1x = 7x + -7

Reorder the terms:
9 + -1x = -7 + 7x

Solving
9 + -1x = -7 + 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.
9 + -1x + -7x = -7 + 7x + -7x

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

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

Add '-9' to each side of the equation.
9 + -9 + -8x = -7 + -9

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

Combine like terms: -7 + -9 = -16
-8x = -16

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

Simplifying
x = 2

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