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10=4\left(2x+1\right)
Variable x cannot be equal to -\frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2x+1.
10=8x+4
Use the distributive property to multiply 4 by 2x+1.
8x+4=10
Swap sides so that all variable terms are on the left hand side.
8x=10-4
Subtract 4 from both sides.
8x=6
Subtract 4 from 10 to get 6.
x=\frac{6}{8}
Divide both sides by 8.
x=\frac{3}{4}
Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.