2-(x+4)=-(2)(x+1)*3

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


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

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

Combine like terms: 2 + -4 = -2
-2 + -1x = -1(2)(x + 1) * 3

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

Reorder the terms for easier multiplication:
-2 + -1x = -1 * 2 * 3(1 + x)

Multiply -1 * 2
-2 + -1x = -2 * 3(1 + x)

Multiply -2 * 3
-2 + -1x = -6(1 + x)
-2 + -1x = (1 * -6 + x * -6)
-2 + -1x = (-6 + -6x)

Solving
-2 + -1x = -6 + -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.
-2 + -1x + 6x = -6 + -6x + 6x

Combine like terms: -1x + 6x = 5x
-2 + 5x = -6 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2 + 5x = -6 + 0
-2 + 5x = -6

Add '2' to each side of the equation.
-2 + 2 + 5x = -6 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = -6 + 2
5x = -6 + 2

Combine like terms: -6 + 2 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8

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