x+2=-3(x-4)

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


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

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

Reorder the terms:
2 + x = -3(-4 + x)
2 + x = (-4 * -3 + x * -3)
2 + x = (12 + -3x)

Solving
2 + x = 12 + -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.
2 + x + 3x = 12 + -3x + 3x

Combine like terms: x + 3x = 4x
2 + 4x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 4x = 12 + 0
2 + 4x = 12

Add '-2' to each side of the equation.
2 + -2 + 4x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 12 + -2
4x = 12 + -2

Combine like terms: 12 + -2 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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