Final answer:
The value of x that satisfies the equation 3(4x+3)-4(5x+1)=79 is -9.25. The method involves distributing, combining like terms, and solving a linear equation.
Step-by-step explanation:
To find the value of x that satisfies the equation 3(4x+3)-4(5x+1)=79, follow these steps:
- Distribute the numbers outside the parentheses: 12x + 9 - 20x - 4 = 79.
- Combine like terms: -8x + 5 = 79.
- Subtract 5 from both sides: -8x = 74.
- Divide both sides by -8 to solve for x: x = -74/8.
- Simplify the fraction: x = -9.25.
Therefore, the value of x that makes the equation true is -9.25.