Answer:
The value of x is -29.
Step-by-step explanation:
We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.
![\text{7x - 5 = 8(x + 3) \ \ \ Distribute the 8 throughout the parentheses.}\\\text{7x - 5 = 8x + 24 \ \ \ \ Subtract 7x from both sides.}\\\text{-5 = x + 24 \ \ \ \ \ \ \ \ \ \ Flip the equation.}\\\text{x + 24 = -5 \ \ \ \ \ \ \ \ \ \ Subtract 24 from both sides.}\\\small\boxed{\bold{{x = -29}}}](https://tex.z-dn.net/?f=%5Ctext%7B7x%20-%205%20%3D%208%28x%20%2B%203%29%20%5C%20%5C%20%5C%20Distribute%20the%208%20throughout%20the%20parentheses.%7D%5C%5C%5Ctext%7B7x%20-%205%20%3D%208x%20%2B%2024%20%5C%20%5C%20%5C%20%5C%20Subtract%207x%20from%20both%20sides.%7D%5C%5C%5Ctext%7B-5%20%3D%20x%20%2B%2024%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20Flip%20the%20equation.%7D%5C%5C%5Ctext%7Bx%20%2B%2024%20%3D%20-5%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20Subtract%2024%20from%20both%20sides.%7D%5C%5C%5Csmall%5Cboxed%7B%5Cbold%7B%7Bx%20%3D%20-29%7D%7D%7D)
Now that we have solved for x, we can plug in -29 to see if we get a true statement.
![\text{7(-29) - 5 = 8(-29 + 3)}\\\text{-203 - 5 = -232 + 24}\\\text{-208 = -208} \ \checkmark](https://tex.z-dn.net/?f=%5Ctext%7B7%28-29%29%20-%205%20%3D%208%28-29%20%2B%203%29%7D%5C%5C%5Ctext%7B-203%20-%205%20%3D%20-232%20%2B%2024%7D%5C%5C%5Ctext%7B-208%20%3D%20-208%7D%20%5C%20%5Ccheckmark)
Because we ended up with a true statement, we have determined that the value of x is -29.
Answer: true
Step-by-step explanation:
Your answer for the greatest common factor is 6
9514 1404 393
Answer:
56
Step-by-step explanation:
Put the values where the variables are and do the arithmetic.
3ab +b = 3(9)(2) +2 = 56