Solve for x
x=\frac{3}{26}\approx 0.115384615
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8\times 5x-3\left(4x-1\right)=4\left(x+2\right)-2\left(x+1\right)
Multiply both sides of the equation by 24, the least common multiple of 3,8,6,12.
40x-3\left(4x-1\right)=4\left(x+2\right)-2\left(x+1\right)
Multiply 8 and 5 to get 40.
40x-12x+3=4\left(x+2\right)-2\left(x+1\right)
Use the distributive property to multiply -3 by 4x-1.
28x+3=4\left(x+2\right)-2\left(x+1\right)
Combine 40x and -12x to get 28x.
28x+3=4x+8-2\left(x+1\right)
Use the distributive property to multiply 4 by x+2.
28x+3=4x+8-2x-2
Use the distributive property to multiply -2 by x+1.
28x+3=2x+8-2
Combine 4x and -2x to get 2x.
28x+3=2x+6
Subtract 2 from 8 to get 6.
28x+3-2x=6
Subtract 2x from both sides.
26x+3=6
Combine 28x and -2x to get 26x.
26x=6-3
Subtract 3 from both sides.
26x=3
Subtract 3 from 6 to get 3.
x=\frac{3}{26}
Divide both sides by 26.
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