23-5(3-x)=-(x-2+7)

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Solution for 23-5(3-x)=-(x-2+7) equation:


Simplifying
23 + -5(3 + -1x) = -1(x + -2 + 7)
23 + (3 * -5 + -1x * -5) = -1(x + -2 + 7)
23 + (-15 + 5x) = -1(x + -2 + 7)

Combine like terms: 23 + -15 = 8
8 + 5x = -1(x + -2 + 7)

Reorder the terms:
8 + 5x = -1(-2 + 7 + x)

Combine like terms: -2 + 7 = 5
8 + 5x = -1(5 + x)
8 + 5x = (5 * -1 + x * -1)
8 + 5x = (-5 + -1x)

Solving
8 + 5x = -5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
8 + 5x + x = -5 + -1x + x

Combine like terms: 5x + x = 6x
8 + 6x = -5 + -1x + x

Combine like terms: -1x + x = 0
8 + 6x = -5 + 0
8 + 6x = -5

Add '-8' to each side of the equation.
8 + -8 + 6x = -5 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = -5 + -8
6x = -5 + -8

Combine like terms: -5 + -8 = -13
6x = -13

Divide each side by '6'.
x = -2.166666667

Simplifying
x = -2.166666667

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