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

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


Simplifying
2[x + -1(4 + 2x) + 3] = 2x + 3
2[x + (4 * -1 + 2x * -1) + 3] = 2x + 3
2[x + (-4 + -2x) + 3] = 2x + 3

Reorder the terms:
2[-4 + 3 + x + -2x] = 2x + 3

Combine like terms: -4 + 3 = -1
2[-1 + x + -2x] = 2x + 3

Combine like terms: x + -2x = -1x
2[-1 + -1x] = 2x + 3
[-1 * 2 + -1x * 2] = 2x + 3
[-2 + -2x] = 2x + 3

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

Solving
-2 + -2x = 3 + 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.
-2 + -2x + -2x = 3 + 2x + -2x

Combine like terms: -2x + -2x = -4x
-2 + -4x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + -4x = 3 + 0
-2 + -4x = 3

Add '2' to each side of the equation.
-2 + 2 + -4x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = 3 + 2
-4x = 3 + 2

Combine like terms: 3 + 2 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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