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A\times 36x\times \frac{40}{A}=12A\times 12
Multiply both sides of the equation by 12A, the least common multiple of 12,A.
\frac{A\times 40}{A}\times 36x=12A\times 12
Express A\times \frac{40}{A} as a single fraction.
40\times 36x=12A\times 12
Cancel out A in both numerator and denominator.
40\times 36x=144A
Multiply 12 and 12 to get 144.
1440x=144A
Multiply 40 and 36 to get 1440.
\frac{1440x}{1440}=\frac{144A}{1440}
Divide both sides by 1440.
x=\frac{144A}{1440}
Dividing by 1440 undoes the multiplication by 1440.
x=\frac{A}{10}
Divide 144A by 1440.