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10\left(2x-1\right)-4\left(4x+5\right)=1x+40
Multiply both sides of the equation by 20, the least common multiple of 2,5,20.
20x-10-4\left(4x+5\right)=1x+40
Use the distributive property to multiply 10 by 2x-1.
20x-10-16x-20=1x+40
Use the distributive property to multiply -4 by 4x+5.
4x-10-20=1x+40
Combine 20x and -16x to get 4x.
4x-30=1x+40
Subtract 20 from -10 to get -30.
4x-30-x=40
Subtract 1x from both sides.
3x-30=40
Combine 4x and -x to get 3x.
3x=40+30
Add 30 to both sides.
3x=70
Add 40 and 30 to get 70.
x=\frac{70}{3}
Divide both sides by 3.