Solve for x
x = \frac{29}{4} = 7\frac{1}{4} = 7.25
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5\left(2x+1\right)\times \frac{2}{5}+4=5\times 7
Variable x cannot be equal to -\frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 5\left(2x+1\right), the least common multiple of 5,10x+5,2x+1.
\left(10x+5\right)\times \frac{2}{5}+4=5\times 7
Use the distributive property to multiply 5 by 2x+1.
4x+2+4=5\times 7
Use the distributive property to multiply 10x+5 by \frac{2}{5}.
4x+6=5\times 7
Add 2 and 4 to get 6.
4x+6=35
Multiply 5 and 7 to get 35.
4x=35-6
Subtract 6 from both sides.
4x=29
Subtract 6 from 35 to get 29.
x=\frac{29}{4}
Divide both sides by 4.
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