Solve for x
x = \frac{15}{2} = 7\frac{1}{2} = 7.5
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5\left(2x+1\right)=4\times 20
Variable x cannot be equal to -\frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 4\left(2x+1\right), the least common multiple of 4,2x+1.
10x+5=4\times 20
Use the distributive property to multiply 5 by 2x+1.
10x+5=80
Multiply 4 and 20 to get 80.
10x=80-5
Subtract 5 from both sides.
10x=75
Subtract 5 from 80 to get 75.
x=\frac{75}{10}
Divide both sides by 10.
x=\frac{15}{2}
Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.
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