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-\frac{8}{7}=x+4
Divide both sides by 7.
x+4=-\frac{8}{7}
Swap sides so that all variable terms are on the left hand side.
x=-\frac{8}{7}-4
Subtract 4 from both sides.
x=-\frac{8}{7}-\frac{28}{7}
Convert 4 to fraction \frac{28}{7}.
x=\frac{-8-28}{7}
Since -\frac{8}{7} and \frac{28}{7} have the same denominator, subtract them by subtracting their numerators.
x=-\frac{36}{7}
Subtract 28 from -8 to get -36.