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4x-3\left(x-4\right)=-24
Multiply both sides of the equation by 24, the least common multiple of 6,8.
4x-3x+12=-24
Use the distributive property to multiply -3 by x-4.
x+12=-24
Combine 4x and -3x to get x.
x=-24-12
Subtract 12 from both sides.
x=-36
Subtract 12 from -24 to get -36.