Question

7x-5=8(x+3) solve for x​

Answer 1

`7x - 5 = 8(x + 3) \\ 7x - 5 = 8x + 24 \\ 8x - 7x = - 24 - 5 \\ \boxed{x = - 29}`

• x = -29 is the right answer.

Answer 2

The value of x is -29.

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}}}`

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`

Because we ended up with a true statement, we have determined that the value of x is -29.