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Solve for $v$ . $\newline$ $v - 5 = \frac{1}{2}(v + 10)$ $\newline$ $v =$ __

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Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

v

.

\newline

v - 5 = \frac{1}{2}(v + 10)

\newline

v =

__

Rewrite Equation: Rewrite the equation to isolate $v$ on one side. $\newline$ $v - 5 = \frac{1}{2}(v + 10)$ $\newline$ Multiply both sides by $2$ to clear the fraction: $\newline$ $2(v - 5) = v + 10$
Multiply and Simplify: Distribute and simplify. $\newline$ $2v - 10 = v + 10$ $\newline$ Subtract $v$ from both sides: $\newline$ $2v - v - 10 = v - v + 10$
Subtract and Simplify: Simplify further. $\newline$ $v - 10 = 10$ $\newline$ Add $10$ to both sides: $\newline$ $v - 10 + 10 = 10 + 10$
Solve for v: Solve for $v$ . $v = 20$

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