Final answer:
To solve the multi-step equation 4(2x + 7) = 36, distribute 4, subtract 28 from both sides, divide by 8, and find that x = 1. Check the solution by substituting it back into the original equation.
Step-by-step explanation:
To solve the multi-step equation 4(2x + 7) = 36, we must perform a series of algebraic steps to isolate the variable x. Here is the step-by-step process:
- Distribute the 4 into the parentheses: 4 * 2x + 4 * 7 = 36, which simplifies to 8x + 28 = 36.
- Subtract 28 from both sides of the equation: 8x + 28 - 28 = 36 - 28, which simplifies to 8x = 8.
- Divide both sides by 8 to solve for x: 8x / 8 = 8 / 8, which simplifies to x = 1.
Through this process, we have determined that the solution to the equation is x = 1. Remember to check the solution by substituting it back into the original equation to verify that it makes sense.