(3x+8)+(2x-5)=23

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Solution for (3x+8)+(2x-5)=23 equation:


Simplifying
(3x + 8) + (2x + -5) = 23

Reorder the terms:
(8 + 3x) + (2x + -5) = 23

Remove parenthesis around (8 + 3x)
8 + 3x + (2x + -5) = 23

Reorder the terms:
8 + 3x + (-5 + 2x) = 23

Remove parenthesis around (-5 + 2x)
8 + 3x + -5 + 2x = 23

Reorder the terms:
8 + -5 + 3x + 2x = 23

Combine like terms: 8 + -5 = 3
3 + 3x + 2x = 23

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

Solving
3 + 5x = 23

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 5x = 23 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 23 + -3
5x = 23 + -3

Combine like terms: 23 + -3 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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