Solve for x 7(4x−15)=63

Answer 1

To solve the equation \( 7(4x - 15) = 63 \), follow these steps:

1. Distribute the 7: \[ 7 \times 4x - 7 \times 15 = 63 \] This simplifies to: \[ 28x - 105 = 63 \]

2. Add 105 to both sides to isolate the term with \( x \): \[ 28x - 105 + 105 = 63 + 105 \] This simplifies to: \[ 28x = 168 \]

3. Divide both sides by 28 to solve for \( x \): \[ x = \frac{168}{28} \] Simplifying the fraction: \[ x = 6 \]

So the solution is: \[ \boxed{6} \]