Final answer:
To solve the equation 1/8(8x + 15) = 24, multiply both sides by 8, simplify, subtract 15, simplify, and then divide both sides by 8 to solve for x, yielding 177/8 as the solution.
Step-by-step explanation:
To solve the equation 1/8(8x + 15) = 24, you need to isolate the variable x. Here's how:
- Multiply both sides of the equation by 8 to get rid of the fraction: (1/8) * 8 * (8x + 15) = 24 * 8
- Simplify both sides: 8x + 15 = 192
- Subtract 15 from both sides: 8x = 192 - 15
- Simplify: 8x = 177
- Divide both sides by 8 to solve for x: x = 177/8
Therefore, the solution for x is 177/8.To solve the equation 1/8(8x + 15) = 24, multiply both sides by 8, simplify, subtract 15, simplify, and then divide both sides by 8 to solve for x, yielding 177/8 as the solution.