Questions: (7x + 11)/8 = -3

Transcript text: $\frac{7 x+11}{8}=-3$

Solution

Solution Steps

To solve the equation $\frac{7x + 11}{8} = -3$, we need to isolate the variable $x$. First, multiply both sides of the equation by 8 to eliminate the fraction. Then, subtract 11 from both sides to further isolate the term with $x$. Finally, divide by 7 to solve for $x$.

Step 1: Eliminate the Fraction

To eliminate the fraction, multiply both sides of the equation by 8: \[ \frac{7x + 11}{8} \times 8 = -3 \times 8 \] This simplifies to: \[ 7x + 11 = -24 \]

Step 2: Isolate the Term with $x$

Subtract 11 from both sides to isolate the term with $x$: \[ 7x + 11 - 11 = -24 - 11 \] This simplifies to: \[ 7x = -35 \]

Step 3: Solve for $x$

Divide both sides by 7 to solve for $x$: \[ x = \frac{-35}{7} \] This simplifies to: \[ x = -5 \]