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7x+y-15=0
Combine 2x and 5x to get 7x.
7x-15=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
7x=-y+15
Add 15 to both sides.
7x=15-y
The equation is in standard form.
\frac{7x}{7}=\frac{15-y}{7}
Divide both sides by 7.
x=\frac{15-y}{7}
Dividing by 7 undoes the multiplication by 7.
7x+y-15=0
Combine 2x and 5x to get 7x.
y-15=-7x
Subtract 7x from both sides. Anything subtracted from zero gives its negation.
y=-7x+15
Add 15 to both sides.