# Solve for x 117/26=52/x 11726=52x
Rewrite the equation as 52x=11726.
52x=11726
Cancel the common factor of 117 and 26.
Factor 13 out of 117.
52x=13(9)26
Cancel the common factors.
Factor 13 out of 26.
52x=13⋅913⋅2
Cancel the common factor.
52x=13⋅913⋅2
Rewrite the expression.
52x=92
52x=92
52x=92
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
52⋅2=x⋅9
Solve the equation for x.
Rewrite the equation as x⋅9=52⋅2.
x⋅9=52⋅2
Multiply 52 by 2.
x⋅9=104
Divide each term by 9 and simplify.
Divide each term in x⋅9=104 by 9.
x⋅99=1049
Cancel the common factor of 9.
Cancel the common factor.
x⋅99=1049
Divide x by 1.
x=1049
x=1049
x=1049
x=1049
The result can be shown in multiple forms.
Exact Form:
x=1049
Decimal Form:
x=11.5‾
Mixed Number Form:
x=1159
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