(2x-12)+(3x-15)=23

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Solution for (2x-12)+(3x-15)=23 equation:


Simplifying
(2x + -12) + (3x + -15) = 23

Reorder the terms:
(-12 + 2x) + (3x + -15) = 23

Remove parenthesis around (-12 + 2x)
-12 + 2x + (3x + -15) = 23

Reorder the terms:
-12 + 2x + (-15 + 3x) = 23

Remove parenthesis around (-15 + 3x)
-12 + 2x + -15 + 3x = 23

Reorder the terms:
-12 + -15 + 2x + 3x = 23

Combine like terms: -12 + -15 = -27
-27 + 2x + 3x = 23

Combine like terms: 2x + 3x = 5x
-27 + 5x = 23

Solving
-27 + 5x = 23

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 5x = 23 + 27

Combine like terms: -27 + 27 = 0
0 + 5x = 23 + 27
5x = 23 + 27

Combine like terms: 23 + 27 = 50
5x = 50

Divide each side by '5'.
x = 10

Simplifying
x = 10

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