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x\times 7=\left(x+8\right)\times 3
Variable x cannot be equal to any of the values -8,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+8\right), the least common multiple of x+8,x.
x\times 7=3x+24
Use the distributive property to multiply x+8 by 3.
x\times 7-3x=24
Subtract 3x from both sides.
4x=24
Combine x\times 7 and -3x to get 4x.
x=\frac{24}{4}
Divide both sides by 4.
x=6
Divide 24 by 4 to get 6.