(x+2)+(2x-5)=54

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Solution for (x+2)+(2x-5)=54 equation:


Simplifying
(x + 2) + (2x + -5) = 54

Reorder the terms:
(2 + x) + (2x + -5) = 54

Remove parenthesis around (2 + x)
2 + x + (2x + -5) = 54

Reorder the terms:
2 + x + (-5 + 2x) = 54

Remove parenthesis around (-5 + 2x)
2 + x + -5 + 2x = 54

Reorder the terms:
2 + -5 + x + 2x = 54

Combine like terms: 2 + -5 = -3
-3 + x + 2x = 54

Combine like terms: x + 2x = 3x
-3 + 3x = 54

Solving
-3 + 3x = 54

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 + 3x = 54 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = 54 + 3
3x = 54 + 3

Combine like terms: 54 + 3 = 57
3x = 57

Divide each side by '3'.
x = 19

Simplifying
x = 19

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