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x+12=-8\times \frac{5}{4}
Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.
x+12=\frac{-8\times 5}{4}
Express -8\times \frac{5}{4} as a single fraction.
x+12=\frac{-40}{4}
Multiply -8 and 5 to get -40.
x+12=-10
Divide -40 by 4 to get -10.
x=-10-12
Subtract 12 from both sides.
x=-22
Subtract 12 from -10 to get -22.