Answer
$g=\frac{7}{6}$
Work Step by Step
$5g-20+12g=1-g$
(Distributive Property: Combine like terms on each side)
$17g-20=1-g$
(Addition Property of Equality: Add g to each side)
$18g-20=1$
(Addition Property of Equality: Add 20 to each side)
$18g=21$
(Division Property of Equality: Divide each side by 18)
$g=\frac{21}{18}$
(Simplify)
$g=\frac{7}{6}$
(Check answer by substituting solution back into the original equation and simplifying.)
$5\times\frac{7}{6}+4(-5+3\times\frac{7}{6})=1-\frac{7}{6}$
(Multiply by the least common denominator 6)
$5\times7+24(-5+\frac{7}{2})=6-7$
(Simplify)
$35-120+84=-1$
$-1=-1$
