2x-5(x-3)=-4+3x-23

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Solution for 2x-5(x-3)=-4+3x-23 equation: 


Simplifying
2x + -5(x + -3) = -4 + 3x + -23

Reorder the terms:
2x + -5(-3 + x) = -4 + 3x + -23
2x + (-3 * -5 + x * -5) = -4 + 3x + -23
2x + (15 + -5x) = -4 + 3x + -23

Reorder the terms:
15 + 2x + -5x = -4 + 3x + -23

Combine like terms: 2x + -5x = -3x
15 + -3x = -4 + 3x + -23

Reorder the terms:
15 + -3x = -4 + -23 + 3x

Combine like terms: -4 + -23 = -27
15 + -3x = -27 + 3x

Solving
15 + -3x = -27 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + -3x + -3x = -27 + 3x + -3x

Combine like terms: -3x + -3x = -6x
15 + -6x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -6x = -27 + 0
15 + -6x = -27

Add '-15' to each side of the equation.
15 + -15 + -6x = -27 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = -27 + -15
-6x = -27 + -15

Combine like terms: -27 + -15 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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