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

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


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

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

Combine like terms: x + -2x = -1x
2[-4 + -1x] + 3 = 2x + 2
[-4 * 2 + -1x * 2] + 3 = 2x + 2
[-8 + -2x] + 3 = 2x + 2

Reorder the terms:
-8 + 3 + -2x = 2x + 2

Combine like terms: -8 + 3 = -5
-5 + -2x = 2x + 2

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

Solving
-5 + -2x = 2 + 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.
-5 + -2x + -2x = 2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-5 + -4x = 2 + 0
-5 + -4x = 2

Add '5' to each side of the equation.
-5 + 5 + -4x = 2 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 2 + 5
-4x = 2 + 5

Combine like terms: 2 + 5 = 7
-4x = 7

Divide each side by '-4'.
x = -1.75

Simplifying
x = -1.75

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