Question

4/7x+8=32 Please solve this equation

Answer 1

To solve the equation 4/7x + 8 = 32, you subtract 8 from both sides of the equation, then multiply by 7 and divide by 4 to isolate x, resulting in a solution of x = 42.

Step-by-step explanation:

The student is asking how to solve the algebraic equation 4/7x + 8 = 32. To solve it, we need to isolate x on one side of the equation. Here are the steps to solve the equation:

1. Subtract 8 from both sides of the equation to get 4/7x = 24.
2. Multiply both sides by 7 to eliminate the fraction, leading to 4x = 168.
3. Finally, divide both sides by 4 to solve for x, resulting in x = 42.
4. Check the solution by substituting x back into the original equation to ensure that both sides are equal.

By following these steps, you'll find that the solution to the equation is x = 42, and when checked, the original equation balances.