Solve for x
x = -\frac{5}{3} = -1\frac{2}{3} \approx -1.666666667
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x+3=\left(x+2\right)\times 4
Variable x cannot be equal to any of the values -3,-2 since division by zero is not defined. Multiply both sides of the equation by \left(x+2\right)\left(x+3\right), the least common multiple of x+2,x+3.
x+3=4x+8
Use the distributive property to multiply x+2 by 4.
x+3-4x=8
Subtract 4x from both sides.
-3x+3=8
Combine x and -4x to get -3x.
-3x=8-3
Subtract 3 from both sides.
-3x=5
Subtract 3 from 8 to get 5.
x=\frac{5}{-3}
Divide both sides by -3.
x=-\frac{5}{3}
Fraction \frac{5}{-3} can be rewritten as -\frac{5}{3} by extracting the negative sign.
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