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

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


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

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

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

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

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

Solving
4 + x = -6 + -3x

Solving for variable 'x'.

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

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

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

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

Add '-4' to each side of the equation.
4 + -4 + 4x = -6 + -4

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

Combine like terms: -6 + -4 = -10
4x = -10

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5

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