## Introductory Algebra for College Students (7th Edition)

$$x = 8$$
To solve this equation, we first want to get rid of the fractions. We do this by multiplying each term by the least common denominator, which, in this case, is $4$: $$4(\frac{x}{2}) + 4(7) = 4(13) - 4(\frac{x}{4})$$ We divide out common factors to get rid of the fractions: $$2x + 28 = 52 - x$$ Add $x$ to both sides to isolate the variable on one side of the equation: $$3x + 28 = 52$$ Subtract $28$ on both sides to move the constants to one side of the equation: $$3x = 24$$ Divide by $3$ on both sides of the equation to solve for $x$: $$x = 8$$