Solve for x
x=\frac{1}{2}=0.5
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5\left(4x-1\right)-2\left(2-x\right)=20x-8
Multiply both sides of the equation by 10, the least common multiple of 2,5.
20x-5-2\left(2-x\right)=20x-8
Use the distributive property to multiply 5 by 4x-1.
20x-5-4+2x=20x-8
Use the distributive property to multiply -2 by 2-x.
20x-9+2x=20x-8
Subtract 4 from -5 to get -9.
22x-9=20x-8
Combine 20x and 2x to get 22x.
22x-9-20x=-8
Subtract 20x from both sides.
2x-9=-8
Combine 22x and -20x to get 2x.
2x=-8+9
Add 9 to both sides.
2x=1
Add -8 and 9 to get 1.
x=\frac{1}{2}
Divide both sides by 2.
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