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2\left(2x-5\right)+4x-10=120
Multiply both sides of the equation by 20, the least common multiple of 10,20.
4x-10+4x-10=120
Use the distributive property to multiply 2 by 2x-5.
8x-10-10=120
Combine 4x and 4x to get 8x.
8x-20=120
Subtract 10 from -10 to get -20.
8x=120+20
Add 20 to both sides.
8x=140
Add 120 and 20 to get 140.
x=\frac{140}{8}
Divide both sides by 8.
x=\frac{35}{2}
Reduce the fraction \frac{140}{8} to lowest terms by extracting and canceling out 4.