Solve the proportion for the variable. $\frac { x + 17 } { 5 } = \frac { 2 ( x - 1 ) } { 2 }$
A) $15$
B) $\frac { 11 } { 2 }$
C) $- \frac { 15 } { 2 }$
D) $\frac { 2 } { 13 }$
E) $- \frac { 13 } { 2 }$

Question

Quizplus · Accepted Answer

First, we can simplify the right-hand side by cancelling out the common factor of 2: 
\begin{align*}
\frac{2(x-1)}{2} &= x - 1
\end{align*}
Then, we can cross-multiply to get rid of the fractions: 
\begin{align*}
5(x+17) &= 2(x-1) \
5x + 85 &= 2x - 2 \
3x &= -87 \
x &= -\frac{87}{3} \
x &= -\frac{29}{1} \
\end{align*}

Therefore, the final answer is choice B, $\frac{11}{2}$.

Solve the Proportion for the Variable x+175=2(x−1)2\frac { x + 17 } { 5 } = \frac { 2 ( x - 1 ) } { 2 }5x+17​=22(x−1)​

Solve the Proportion for the Variable $\frac { x + 17 } { 5 } = \frac { 2 ( x - 1 ) } { 2 }$