Solve for x
x=3
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2\left(2x+4\right)=5\left(3x-5\right)
Variable x cannot be equal to \frac{5}{3} since division by zero is not defined. Multiply both sides of the equation by 2\left(3x-5\right), the least common multiple of 3x-5,2.
4x+8=5\left(3x-5\right)
Use the distributive property to multiply 2 by 2x+4.
4x+8=15x-25
Use the distributive property to multiply 5 by 3x-5.
4x+8-15x=-25
Subtract 15x from both sides.
-11x+8=-25
Combine 4x and -15x to get -11x.
-11x=-25-8
Subtract 8 from both sides.
-11x=-33
Subtract 8 from -25 to get -33.
x=\frac{-33}{-11}
Divide both sides by -11.
x=3
Divide -33 by -11 to get 3.
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