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

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


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

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

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

Combine like terms: x + 1x = 2x
8 + 2x = 3[-1 + 2x]
8 + 2x = [-1 * 3 + 2x * 3]
8 + 2x = [-3 + 6x]

Solving
8 + 2x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 2x + -6x = -3 + 6x + -6x

Combine like terms: 2x + -6x = -4x
8 + -4x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -4x = -3 + 0
8 + -4x = -3

Add '-8' to each side of the equation.
8 + -8 + -4x = -3 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = -3 + -8
-4x = -3 + -8

Combine like terms: -3 + -8 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75

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