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2\left(x-4\right)+48=3\left(x+2\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x-8+48=3\left(x+2\right)
Use the distributive property to multiply 2 by x-4.
2x+40=3\left(x+2\right)
Add -8 and 48 to get 40.
2x+40=3x+6
Use the distributive property to multiply 3 by x+2.
2x+40-3x=6
Subtract 3x from both sides.
-x+40=6
Combine 2x and -3x to get -x.
-x=6-40
Subtract 40 from both sides.
-x=-34
Subtract 40 from 6 to get -34.
x=34
Multiply both sides by -1.