Solve for x
x=40
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5\left(3x-1\right)=7\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.
15x-5=7\left(2x+5\right)
Use the distributive property to multiply 5 by 3x-1.
15x-5=14x+35
Use the distributive property to multiply 7 by 2x+5.
15x-5-14x=35
Subtract 14x from both sides.
x-5=35
Combine 15x and -14x to get x.
x=35+5
Add 5 to both sides.
x=40
Add 35 and 5 to get 40.
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