Solve the equation.
-$\frac { x + 2 } { 2 } - \frac { 5 x - 12 } { 7 } = 1$
A) $\{ 8 \}$
B) $\{ 4 \}$
C) $\{ - 8 \}$
D) {-24}

Question

Solve the equation.
-$\frac { x + 2 } { 2 } - \frac { 5 x - 12 } { 7 } = 1$
A) $\{ 8 \}$
B) $\{ 4 \}$
C) $\{ - 8 \}$
D)  {-24}

Quizplus · Accepted Answer

To solve the equation $\frac{x + 2}{2} - \frac{5x - 12}{7} = 1$, first find a common denominator, which is 14, to combine the fractions. This leads to $\frac{7(x + 2) - 2(5x - 12)}{14} = 1$. Simplifying inside the numerator gives $\frac{7x + 14 - 10x + 24}{14} = 1$, which simplifies to $\frac{-3x + 38}{14} = 1$. Multiplying both sides by 14 gives $-3x + 38 = 14$. Subtracting 38 from both sides gives $-3x = -24$, and dividing by -3 gives $x = 8$.

Solve the Equation x+22−5x−127=1\frac { x + 2 } { 2 } - \frac { 5 x - 12 } { 7 } = 12x+2​−75x−12​=1

Solve the Equation $\frac { x + 2 } { 2 } - \frac { 5 x - 12 } { 7 } = 1$