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M\left(x+10\right)=5-5
Variable x cannot be equal to -10 since division by zero is not defined. Multiply both sides of the equation by x+10.
Mx+10M=5-5
Use the distributive property to multiply M by x+10.
Mx+10M=0
Subtract 5 from 5 to get 0.
Mx=-10M
Subtract 10M from both sides. Anything subtracted from zero gives its negation.
\frac{Mx}{M}=-\frac{10M}{M}
Divide both sides by M.
x=-\frac{10M}{M}
Dividing by M undoes the multiplication by M.
x=-10
Divide -10M by M.
x\in \emptyset
Variable x cannot be equal to -10.