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\left(x-5\right)\times 3=-\left(2x+5\right)\left(-1\right)
Variable x cannot be equal to any of the values -\frac{5}{2},5 since division by zero is not defined. Multiply both sides of the equation by \left(x-5\right)\left(2x+5\right), the least common multiple of 2x+5,x-5.
3x-15=-\left(2x+5\right)\left(-1\right)
Use the distributive property to multiply x-5 by 3.
3x-15=-\left(-2x-5\right)
Use the distributive property to multiply 2x+5 by -1.
3x-15=2x+5
To find the opposite of -2x-5, find the opposite of each term.
3x-15-2x=5
Subtract 2x from both sides.
x-15=5
Combine 3x and -2x to get x.
x=5+15
Add 15 to both sides.
x=20
Add 5 and 15 to get 20.