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\left(x+4\right)\times 3=x\times 5
Variable x cannot be equal to any of the values -4,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+4\right), the least common multiple of x,x+4.
3x+12=x\times 5
Use the distributive property to multiply x+4 by 3.
3x+12-x\times 5=0
Subtract x\times 5 from both sides.
-2x+12=0
Combine 3x and -x\times 5 to get -2x.
-2x=-12
Subtract 12 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-12}{-2}
Divide both sides by -2.
x=6
Divide -12 by -2 to get 6.