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

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Solution for 2[x-2(2x+4)+3]=2(x+1) equation:


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

Reorder the terms:
2[x + -2(4 + 2x) + 3] = 2(x + 1)
2[x + (4 * -2 + 2x * -2) + 3] = 2(x + 1)
2[x + (-8 + -4x) + 3] = 2(x + 1)

Reorder the terms:
2[-8 + 3 + x + -4x] = 2(x + 1)

Combine like terms: -8 + 3 = -5
2[-5 + x + -4x] = 2(x + 1)

Combine like terms: x + -4x = -3x
2[-5 + -3x] = 2(x + 1)
[-5 * 2 + -3x * 2] = 2(x + 1)
[-10 + -6x] = 2(x + 1)

Reorder the terms:
-10 + -6x = 2(1 + x)
-10 + -6x = (1 * 2 + x * 2)
-10 + -6x = (2 + 2x)

Solving
-10 + -6x = 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.
-10 + -6x + -2x = 2 + 2x + -2x

Combine like terms: -6x + -2x = -8x
-10 + -8x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + -8x = 2 + 0
-10 + -8x = 2

Add '10' to each side of the equation.
-10 + 10 + -8x = 2 + 10

Combine like terms: -10 + 10 = 0
0 + -8x = 2 + 10
-8x = 2 + 10

Combine like terms: 2 + 10 = 12
-8x = 12

Divide each side by '-8'.
x = -1.5

Simplifying
x = -1.5

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