# Solve for x -11/20=x-15/16 -1120=x-1516
Rewrite the equation as x-1516=-1120.
x-1516=-1120
Move all terms not containing x to the right side of the equation.
Add 1516 to both sides of the equation.
x=-1120+1516
To write -1120 as a fraction with a common denominator, multiply by 44.
x=-1120⋅44+1516
To write 1516 as a fraction with a common denominator, multiply by 55.
x=-1120⋅44+1516⋅55
Write each expression with a common denominator of 80, by multiplying each by an appropriate factor of 1.
Multiply 1120 and 44.
x=-11⋅420⋅4+1516⋅55
Multiply 20 by 4.
x=-11⋅480+1516⋅55
Multiply 1516 and 55.
x=-11⋅480+15⋅516⋅5
Multiply 16 by 5.
x=-11⋅480+15⋅580
x=-11⋅480+15⋅580
Combine the numerators over the common denominator.
x=-11⋅4+15⋅580
Simplify the numerator.
Multiply -11 by 4.
x=-44+15⋅580
Multiply 15 by 5.
x=-44+7580
Add -44 and 75.
x=3180
x=3180
x=3180
The result can be shown in multiple forms.
Exact Form:
x=3180
Decimal Form:
x=0.3875
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