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

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

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

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

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

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

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

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

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

Combine like terms: 2x + x = 3x
2[-3 + 3x] = 54
[-3 * 2 + 3x * 2] = 54
[-6 + 6x] = 54

Solving
-6 + 6x = 54

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 6x = 54 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 54 + 6
6x = 54 + 6

Combine like terms: 54 + 6 = 60
6x = 60

Divide each side by '6'.
x = 10

Simplifying
x = 10