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5\times 6=3\left(x+4\right)
Variable x cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+4\right), the least common multiple of x+4,5.
30=3\left(x+4\right)
Multiply 5 and 6 to get 30.
30=3x+12
Use the distributive property to multiply 3 by x+4.
3x+12=30
Swap sides so that all variable terms are on the left hand side.
3x=30-12
Subtract 12 from both sides.
3x=18
Subtract 12 from 30 to get 18.
x=\frac{18}{3}
Divide both sides by 3.
x=6
Divide 18 by 3 to get 6.