Solve for x
x=4
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15\left(4\times 2+1\right)-5\left(x+5\right)=6\left(4x-1\right)
Multiply both sides of the equation by 30, the least common multiple of 2,6,5.
15\left(8+1\right)-5\left(x+5\right)=6\left(4x-1\right)
Multiply 4 and 2 to get 8.
15\times 9-5\left(x+5\right)=6\left(4x-1\right)
Add 8 and 1 to get 9.
135-5\left(x+5\right)=6\left(4x-1\right)
Multiply 15 and 9 to get 135.
135-5x-25=6\left(4x-1\right)
Use the distributive property to multiply -5 by x+5.
110-5x=6\left(4x-1\right)
Subtract 25 from 135 to get 110.
110-5x=24x-6
Use the distributive property to multiply 6 by 4x-1.
110-5x-24x=-6
Subtract 24x from both sides.
110-29x=-6
Combine -5x and -24x to get -29x.
-29x=-6-110
Subtract 110 from both sides.
-29x=-116
Subtract 110 from -6 to get -116.
x=\frac{-116}{-29}
Divide both sides by -29.
x=4
Divide -116 by -29 to get 4.
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