Solve for x
x=-19
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3\left(3x+2\right)=5\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 3\left(2x+5\right), the least common multiple of 2x+5,3.
9x+6=5\left(2x+5\right)
Use the distributive property to multiply 3 by 3x+2.
9x+6=10x+25
Use the distributive property to multiply 5 by 2x+5.
9x+6-10x=25
Subtract 10x from both sides.
-x+6=25
Combine 9x and -10x to get -x.
-x=25-6
Subtract 6 from both sides.
-x=19
Subtract 6 from 25 to get 19.
x=-19
Multiply both sides by -1.
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