23-(x+7)=5x-2

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Solution for 23-(x+7)=5x-2 equation:


Simplifying
23 + -1(x + 7) = 5x + -2

Reorder the terms:
23 + -1(7 + x) = 5x + -2
23 + (7 * -1 + x * -1) = 5x + -2
23 + (-7 + -1x) = 5x + -2

Combine like terms: 23 + -7 = 16
16 + -1x = 5x + -2

Reorder the terms:
16 + -1x = -2 + 5x

Solving
16 + -1x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
16 + -1x + -5x = -2 + 5x + -5x

Combine like terms: -1x + -5x = -6x
16 + -6x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -6x = -2 + 0
16 + -6x = -2

Add '-16' to each side of the equation.
16 + -16 + -6x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -6x = -2 + -16
-6x = -2 + -16

Combine like terms: -2 + -16 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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