(3x-5)+(8+x)=48

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Solution for (3x-5)+(8+x)=48 equation:


Simplifying
(3x + -5) + (8 + x) = 48

Reorder the terms:
(-5 + 3x) + (8 + x) = 48

Remove parenthesis around (-5 + 3x)
-5 + 3x + (8 + x) = 48

Remove parenthesis around (8 + x)
-5 + 3x + 8 + x = 48

Reorder the terms:
-5 + 8 + 3x + x = 48

Combine like terms: -5 + 8 = 3
3 + 3x + x = 48

Combine like terms: 3x + x = 4x
3 + 4x = 48

Solving
3 + 4x = 48

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 + 4x = 48 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 48 + -3
4x = 48 + -3

Combine like terms: 48 + -3 = 45
4x = 45

Divide each side by '4'.
x = 11.25

Simplifying
x = 11.25

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