Solve for x
x=-\frac{2}{5}=-0.4
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4\left(2x+5\right)=3\left(x+6\right)
Variable x cannot be equal to -6 since division by zero is not defined. Multiply both sides of the equation by 4\left(x+6\right), the least common multiple of x+6,4.
8x+20=3\left(x+6\right)
Use the distributive property to multiply 4 by 2x+5.
8x+20=3x+18
Use the distributive property to multiply 3 by x+6.
8x+20-3x=18
Subtract 3x from both sides.
5x+20=18
Combine 8x and -3x to get 5x.
5x=18-20
Subtract 20 from both sides.
5x=-2
Subtract 20 from 18 to get -2.
x=\frac{-2}{5}
Divide both sides by 5.
x=-\frac{2}{5}
Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.
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Limits
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