Step 1: Start with the given equation:
5 - 11x = 7(5 - 2x)
Step 2: Distribute the 7 on the right side:
5 - 11x = 35 - 14x
Step 3: Move the terms involving \(x\) to one side and constants to the other side:
5 - 35 = -14x + 11x
Step 4: Simplify each side:
-30 = -3x
Step 5: Solve for \(x\):
x=\frac{-30}{-3}=\frac{30}{3}=10
Final Answer:
x=10