23-(x+6)=7x-7

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Solution for 23-(x+6)=7x-7 equation:


Simplifying
23 + -1(x + 6) = 7x + -7

Reorder the terms:
23 + -1(6 + x) = 7x + -7
23 + (6 * -1 + x * -1) = 7x + -7
23 + (-6 + -1x) = 7x + -7

Combine like terms: 23 + -6 = 17
17 + -1x = 7x + -7

Reorder the terms:
17 + -1x = -7 + 7x

Solving
17 + -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.
17 + -1x + -7x = -7 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
17 + -8x = -7 + 0
17 + -8x = -7

Add '-17' to each side of the equation.
17 + -17 + -8x = -7 + -17

Combine like terms: 17 + -17 = 0
0 + -8x = -7 + -17
-8x = -7 + -17

Combine like terms: -7 + -17 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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