x+(3x-5)+(x+2)=-48

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Solution for x+(3x-5)+(x+2)=-48 equation:


Simplifying
x + (3x + -5) + (x + 2) = -48

Reorder the terms:
x + (-5 + 3x) + (x + 2) = -48

Remove parenthesis around (-5 + 3x)
x + -5 + 3x + (x + 2) = -48

Reorder the terms:
x + -5 + 3x + (2 + x) = -48

Remove parenthesis around (2 + x)
x + -5 + 3x + 2 + x = -48

Reorder the terms:
-5 + 2 + x + 3x + x = -48

Combine like terms: -5 + 2 = -3
-3 + x + 3x + x = -48

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

Combine like terms: 4x + x = 5x
-3 + 5x = -48

Solving
-3 + 5x = -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 + 5x = -48 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = -48 + 3
5x = -48 + 3

Combine like terms: -48 + 3 = -45
5x = -45

Divide each side by '5'.
x = -9

Simplifying
x = -9

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