Solve for x
x=20
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6\left(x-8\right)-3\left(x-4\right)=84-4\left(x-5\right)
Multiply both sides of the equation by 12, the least common multiple of 2,4,3.
6x-48-3\left(x-4\right)=84-4\left(x-5\right)
Use the distributive property to multiply 6 by x-8.
6x-48-3x+12=84-4\left(x-5\right)
Use the distributive property to multiply -3 by x-4.
3x-48+12=84-4\left(x-5\right)
Combine 6x and -3x to get 3x.
3x-36=84-4\left(x-5\right)
Add -48 and 12 to get -36.
3x-36=84-4x+20
Use the distributive property to multiply -4 by x-5.
3x-36=104-4x
Add 84 and 20 to get 104.
3x-36+4x=104
Add 4x to both sides.
7x-36=104
Combine 3x and 4x to get 7x.
7x=104+36
Add 36 to both sides.
7x=140
Add 104 and 36 to get 140.
x=\frac{140}{7}
Divide both sides by 7.
x=20
Divide 140 by 7 to get 20.
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