Solve for x
x=-\frac{12}{23}\approx -0.52173913
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4\left(-5\right)x=3\left(x+4\right)
Variable x cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by 4\left(x+4\right), the least common multiple of 4+x,4.
-20x=3\left(x+4\right)
Multiply 4 and -5 to get -20.
-20x=3x+12
Use the distributive property to multiply 3 by x+4.
-20x-3x=12
Subtract 3x from both sides.
-23x=12
Combine -20x and -3x to get -23x.
x=\frac{12}{-23}
Divide both sides by -23.
x=-\frac{12}{23}
Fraction \frac{12}{-23} can be rewritten as -\frac{12}{23} by extracting the negative sign.
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