Solve for x
x=-16
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4\times 6=-3\left(x+8\right)
Variable x cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by 4\left(x+8\right), the least common multiple of x+8,4.
24=-3\left(x+8\right)
Multiply 4 and 6 to get 24.
24=-3x-24
Use the distributive property to multiply -3 by x+8.
-3x-24=24
Swap sides so that all variable terms are on the left hand side.
-3x=24+24
Add 24 to both sides.
-3x=48
Add 24 and 24 to get 48.
x=\frac{48}{-3}
Divide both sides by -3.
x=-16
Divide 48 by -3 to get -16.
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