Solve for x
x = \frac{25}{4} = 6\frac{1}{4} = 6.25
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5\times 7=2\left(2x+5\right)
Variable x cannot be equal to -\frac{5}{2} since division by zero is not defined. Multiply both sides of the equation by 5\left(2x+5\right), the least common multiple of 2x+5,5.
35=2\left(2x+5\right)
Multiply 5 and 7 to get 35.
35=4x+10
Use the distributive property to multiply 2 by 2x+5.
4x+10=35
Swap sides so that all variable terms are on the left hand side.
4x=35-10
Subtract 10 from both sides.
4x=25
Subtract 10 from 35 to get 25.
x=\frac{25}{4}
Divide both sides by 4.
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