Solve the equation.
-$13 ( 5 x - 7 ) = 3 x - 5$
A) $\frac { 48 } { 31 }$
B) $\frac { 43 } { 34 }$
C) $- \frac { 43 } { 31 }$
D) $\frac { 43 } { 31 }$

Question

Quizplus · Accepted Answer

First, distribute the 13 across the terms inside the parentheses: $13(5x) - 13(7) = 3x - 5$, which simplifies to $65x - 91 = 3x - 5$. Then, subtract $3x$ from both sides to get $62x - 91 = -5$. Adding 91 to both sides gives $62x = 86$. Finally, divide both sides by 62 to solve for $x$, which gives $x = \frac{86}{62}$, which simplifies to $x = \frac{43}{31}$.

Solve the Equation 13(5x−7)=3x−513 ( 5 x - 7 ) = 3 x - 513(5x−7)=3x−5

Solve the Equation $13 ( 5 x - 7 ) = 3 x - 5$