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2x+5x-4=24y-13
To find the opposite of -5x+4, find the opposite of each term.
7x-4=24y-13
Combine 2x and 5x to get 7x.
7x=24y-13+4
Add 4 to both sides.
7x=24y-9
Add -13 and 4 to get -9.
\frac{7x}{7}=\frac{24y-9}{7}
Divide both sides by 7.
x=\frac{24y-9}{7}
Dividing by 7 undoes the multiplication by 7.
2x+5x-4=24y-13
To find the opposite of -5x+4, find the opposite of each term.
7x-4=24y-13
Combine 2x and 5x to get 7x.
24y-13=7x-4
Swap sides so that all variable terms are on the left hand side.
24y=7x-4+13
Add 13 to both sides.
24y=7x+9
Add -4 and 13 to get 9.
\frac{24y}{24}=\frac{7x+9}{24}
Divide both sides by 24.
y=\frac{7x+9}{24}
Dividing by 24 undoes the multiplication by 24.
y=\frac{7x}{24}+\frac{3}{8}
Divide 7x+9 by 24.