Solve for x
x = \frac{35}{2} = 17\frac{1}{2} = 17.5
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5\left(2x+1\right)=8\left(x+5\right)
Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+5\right), the least common multiple of x+5,5.
10x+5=8\left(x+5\right)
Use the distributive property to multiply 5 by 2x+1.
10x+5=8x+40
Use the distributive property to multiply 8 by x+5.
10x+5-8x=40
Subtract 8x from both sides.
2x+5=40
Combine 10x and -8x to get 2x.
2x=40-5
Subtract 5 from both sides.
2x=35
Subtract 5 from 40 to get 35.
x=\frac{35}{2}
Divide both sides by 2.
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