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2\left(x-4\right)=3x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of x,2.
2x-8=3x
Use the distributive property to multiply 2 by x-4.
2x-8-3x=0
Subtract 3x from both sides.
-x-8=0
Combine 2x and -3x to get -x.
-x=8
Add 8 to both sides. Anything plus zero gives itself.
x=-8
Multiply both sides by -1.