Solve for x
x = \frac{23}{3} = 7\frac{2}{3} \approx 7.666666667
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5\left(x-3\right)=2\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 5\left(x+4\right), the least common multiple of x+4,5.
5x-15=2\left(x+4\right)
Use the distributive property to multiply 5 by x-3.
5x-15=2x+8
Use the distributive property to multiply 2 by x+4.
5x-15-2x=8
Subtract 2x from both sides.
3x-15=8
Combine 5x and -2x to get 3x.
3x=8+15
Add 15 to both sides.
3x=23
Add 8 and 15 to get 23.
x=\frac{23}{3}
Divide both sides by 3.
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Limits
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