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3\left(x+8\right)=5x
Multiply both sides of the equation by 6, the least common multiple of 2,6.
3x+24=5x
Use the distributive property to multiply 3 by x+8.
3x+24-5x=0
Subtract 5x from both sides.
-2x+24=0
Combine 3x and -5x to get -2x.
-2x=-24
Subtract 24 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-24}{-2}
Divide both sides by -2.
x=12
Divide -24 by -2 to get 12.