Solve for x
x=\frac{2}{3}\approx 0.666666667
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5\times 2x=4\left(x+1\right)
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+1\right), the least common multiple of x+1,5.
10x=4\left(x+1\right)
Multiply 5 and 2 to get 10.
10x=4x+4
Use the distributive property to multiply 4 by x+1.
10x-4x=4
Subtract 4x from both sides.
6x=4
Combine 10x and -4x to get 6x.
x=\frac{4}{6}
Divide both sides by 6.
x=\frac{2}{3}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
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