Solve for x
x=-20
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5\left(x+2\right)=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.
5x+10=2\left(2x-5\right)
Use the distributive property to multiply 5 by x+2.
5x+10=4x-10
Use the distributive property to multiply 2 by 2x-5.
5x+10-4x=-10
Subtract 4x from both sides.
x+10=-10
Combine 5x and -4x to get x.
x=-10-10
Subtract 10 from both sides.
x=-20
Subtract 10 from -10 to get -20.
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