Let's analyze the shown in your image. The main equation to solve is: \[ \frac{3}{4}x + 5 = 11 \] Let's solve it step-by-step: --- ## **Step 1: Isolate the term with \(x\)** Subtract 5 from both sides to isolate the term with \(x\): \[ \frac{3}{4}x + 5 - 5 = 11 - 5 \] \[ \frac{3}{4}x = 6 \] **Explanation:** We subtracted 5 from both sides to keep the equation balanced and to get the \(x\) term alone on one side. --- ## **Step 2: Solve for \(x\)** Multiply both sides by the reciprocal of \(\frac{3}{4}\), which is \(\frac{4}{3}\): \[ x = 6 \times \frac{4}{3} \] \[ x = \frac{24}{3} \] \[ x = 8 \] **Explanation:** Multiplying by the reciprocal undoes the coefficient on \(x\), leaving \(x\) by itself. --- ## **Final Answer** \[ x = 8 \]

# Solution to the Equation The equation we will solve is: \[ \frac{3}{4}x + 5 = 11 \] We will proceed in two steps. --- ## **Step 1: Isolate the term with \(x\)** Subtract 5 from both sides: \[ \frac{3}{4}x + 5 - 5 = 11 - 5 \] \[ \frac{3}{4}x = 6 \] **Explanation:** By subtracting 5 from both sides, we simplified the equation to focus on the term containing \(x\), allowing us to solve for \(x\). --- ## **Step 2: Solve for \(x\)** Multiply both sides by the reciprocal of \(\frac{3}{4}\): \[ x = 6 \times \frac{4}{3} \] \[ x = \frac{24}{3} \] \[ x = 8 \] **Explanation:** Multiplying by \(\frac{4}{3}\) effectively cancels out the \(\frac{3}{4}\) coefficient, isolating \(x\) and enabling us to find its value. --- ## **Final Answer** \[ x = 8 \]