(4x+5)+(x-9)=41

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Solution for (4x+5)+(x-9)=41 equation:


Simplifying
(4x + 5) + (x + -9) = 41

Reorder the terms:
(5 + 4x) + (x + -9) = 41

Remove parenthesis around (5 + 4x)
5 + 4x + (x + -9) = 41

Reorder the terms:
5 + 4x + (-9 + x) = 41

Remove parenthesis around (-9 + x)
5 + 4x + -9 + x = 41

Reorder the terms:
5 + -9 + 4x + x = 41

Combine like terms: 5 + -9 = -4
-4 + 4x + x = 41

Combine like terms: 4x + x = 5x
-4 + 5x = 41

Solving
-4 + 5x = 41

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 5x = 41 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 41 + 4
5x = 41 + 4

Combine like terms: 41 + 4 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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