5-3x=-6(x+2)

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Solution for 5-3x=-6(x+2) equation:


Simplifying
5 + -3x = -6(x + 2)

Reorder the terms:
5 + -3x = -6(2 + x)
5 + -3x = (2 * -6 + x * -6)
5 + -3x = (-12 + -6x)

Solving
5 + -3x = -12 + -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.
5 + -3x + 6x = -12 + -6x + 6x

Combine like terms: -3x + 6x = 3x
5 + 3x = -12 + -6x + 6x

Combine like terms: -6x + 6x = 0
5 + 3x = -12 + 0
5 + 3x = -12

Add '-5' to each side of the equation.
5 + -5 + 3x = -12 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = -12 + -5
3x = -12 + -5

Combine like terms: -12 + -5 = -17
3x = -17

Divide each side by '3'.
x = -5.666666667

Simplifying
x = -5.666666667

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