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

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Solution for 23-(x+7)=7x-8 equation:


Simplifying
23 + -1(x + 7) = 7x + -8

Reorder the terms:
23 + -1(7 + x) = 7x + -8
23 + (7 * -1 + x * -1) = 7x + -8
23 + (-7 + -1x) = 7x + -8

Combine like terms: 23 + -7 = 16
16 + -1x = 7x + -8

Reorder the terms:
16 + -1x = -8 + 7x

Solving
16 + -1x = -8 + 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.
16 + -1x + -7x = -8 + 7x + -7x

Combine like terms: -1x + -7x = -8x
16 + -8x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -8x = -8 + 0
16 + -8x = -8

Add '-16' to each side of the equation.
16 + -16 + -8x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -8x = -8 + -16
-8x = -8 + -16

Combine like terms: -8 + -16 = -24
-8x = -24

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

Simplifying
x = 3

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