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Solve for X
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10X+10Xx=120
Use the distributive property to multiply 10X by 1+x.
\left(10+10x\right)X=120
Combine all terms containing X.
\left(10x+10\right)X=120
The equation is in standard form.
\frac{\left(10x+10\right)X}{10x+10}=\frac{120}{10x+10}
Divide both sides by 10+10x.
X=\frac{120}{10x+10}
Dividing by 10+10x undoes the multiplication by 10+10x.
X=\frac{12}{x+1}
Divide 120 by 10+10x.
10X+10Xx=120
Use the distributive property to multiply 10X by 1+x.
10Xx=120-10X
Subtract 10X from both sides.
\frac{10Xx}{10X}=\frac{120-10X}{10X}
Divide both sides by 10X.
x=\frac{120-10X}{10X}
Dividing by 10X undoes the multiplication by 10X.
x=-1+\frac{12}{X}
Divide 120-10X by 10X.