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\frac{x+2}{5}=\frac{15}{43}
Divide both sides by 43.
x+2=\frac{15}{43}\times 5
Multiply both sides by 5.
x+2=\frac{15\times 5}{43}
Express \frac{15}{43}\times 5 as a single fraction.
x+2=\frac{75}{43}
Multiply 15 and 5 to get 75.
x=\frac{75}{43}-2
Subtract 2 from both sides.
x=\frac{75}{43}-\frac{86}{43}
Convert 2 to fraction \frac{86}{43}.
x=\frac{75-86}{43}
Since \frac{75}{43} and \frac{86}{43} have the same denominator, subtract them by subtracting their numerators.
x=-\frac{11}{43}
Subtract 86 from 75 to get -11.