(5x-1)+(13-x)=24

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Solution for (5x-1)+(13-x)=24 equation:


Simplifying
(5x + -1) + (13 + -1x) = 24

Reorder the terms:
(-1 + 5x) + (13 + -1x) = 24

Remove parenthesis around (-1 + 5x)
-1 + 5x + (13 + -1x) = 24

Remove parenthesis around (13 + -1x)
-1 + 5x + 13 + -1x = 24

Reorder the terms:
-1 + 13 + 5x + -1x = 24

Combine like terms: -1 + 13 = 12
12 + 5x + -1x = 24

Combine like terms: 5x + -1x = 4x
12 + 4x = 24

Solving
12 + 4x = 24

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 4x = 24 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 24 + -12
4x = 24 + -12

Combine like terms: 24 + -12 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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