23+3x=2(-x+5)-27

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Solution for 23+3x=2(-x+5)-27 equation:


Simplifying
23 + 3x = 2(-1x + 5) + -27

Reorder the terms:
23 + 3x = 2(5 + -1x) + -27
23 + 3x = (5 * 2 + -1x * 2) + -27
23 + 3x = (10 + -2x) + -27

Reorder the terms:
23 + 3x = 10 + -27 + -2x

Combine like terms: 10 + -27 = -17
23 + 3x = -17 + -2x

Solving
23 + 3x = -17 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
23 + 3x + 2x = -17 + -2x + 2x

Combine like terms: 3x + 2x = 5x
23 + 5x = -17 + -2x + 2x

Combine like terms: -2x + 2x = 0
23 + 5x = -17 + 0
23 + 5x = -17

Add '-23' to each side of the equation.
23 + -23 + 5x = -17 + -23

Combine like terms: 23 + -23 = 0
0 + 5x = -17 + -23
5x = -17 + -23

Combine like terms: -17 + -23 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8

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