2[(2*x)-5]=(2*x)+22

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Solution for 2[(2*x)-5]=(2*x)+22 equation: 


Simplifying
2[(2x) + -5] = (2x) + 22

Reorder the terms:
2[-5 + (2x)] = (2x) + 22
[-5 * 2 + (2x) * 2] = (2x) + 22
[-10 + 4x] = (2x) + 22

Reorder the terms:
-10 + 4x = 22 + (2x)

Solving
-10 + 4x = 22 + (2x)

Solving for variable 'x'.

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

Add '(-2x)' to each side of the equation.
-10 + 4x + (-2x) = 22 + (2x) + (-2x)

Combine like terms: 4x + (-2x) = 2x
-10 + 2x = 22 + (2x) + (-2x)

Combine like terms: (2x) + (-2x) = 0
-10 + 2x = 22 + 0
-10 + 2x = 22

Add '10' to each side of the equation.
-10 + 10 + 2x = 22 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 22 + 10
2x = 22 + 10

Combine like terms: 22 + 10 = 32
2x = 32

Divide each side by '2'.
x = 16

Simplifying
x = 16

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