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3x+5=5\left(2x-5\right)
Multiply both sides of the equation by 15, the least common multiple of 5,3.
3x+5=10x-25
Use the distributive property to multiply 5 by 2x-5.
3x+5-10x=-25
Subtract 10x from both sides.
-7x+5=-25
Combine 3x and -10x to get -7x.
-7x=-25-5
Subtract 5 from both sides.
-7x=-30
Subtract 5 from -25 to get -30.
x=\frac{-30}{-7}
Divide both sides by -7.
x=\frac{30}{7}
Fraction \frac{-30}{-7} can be simplified to \frac{30}{7} by removing the negative sign from both the numerator and the denominator.