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5\left(4x-1\right)+4\left(2x-1\right)=40
Multiply both sides of the equation by 20, the least common multiple of 4,5.
20x-5+4\left(2x-1\right)=40
Use the distributive property to multiply 5 by 4x-1.
20x-5+8x-4=40
Use the distributive property to multiply 4 by 2x-1.
28x-5-4=40
Combine 20x and 8x to get 28x.
28x-9=40
Subtract 4 from -5 to get -9.
28x=40+9
Add 9 to both sides.
28x=49
Add 40 and 9 to get 49.
x=\frac{49}{28}
Divide both sides by 28.
x=\frac{7}{4}
Reduce the fraction \frac{49}{28} to lowest terms by extracting and canceling out 7.