2[2(x-4)+3]=5

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Solution for 2[2(x-4)+3]=5 equation: 


Simplifying
2[2(x + -4) + 3] = 5

Reorder the terms:
2[2(-4 + x) + 3] = 5
2[(-4 * 2 + x * 2) + 3] = 5
2[(-8 + 2x) + 3] = 5

Reorder the terms:
2[-8 + 3 + 2x] = 5

Combine like terms: -8 + 3 = -5
2[-5 + 2x] = 5
[-5 * 2 + 2x * 2] = 5
[-10 + 4x] = 5

Solving
-10 + 4x = 5

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 4x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 5 + 10
4x = 5 + 10

Combine like terms: 5 + 10 = 15
4x = 15

Divide each side by '4'.
x = 3.75

Simplifying
x = 3.75

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