Question

What is the solution to the equation 5(2x – 3) = -4(x + 4) – 13?

A.
x = 2

B.
x = -2

C.
No Solution

D.
x = -1

Answer 1

Answer: x is -1

Explanation:

`5(2x - 3) = - 4(x + 4) - 13 \\ \\ 10x - 15 = - 4x - 16 - 13 \\ \\ 10x - 15 = - 4x - 29 \\ \\ 10x + 4x = - 29 + 15 \\ \\ 14x = - 14 \\ \\ x = - 1`

Answer 2

Hello there!

We are given the equation below:

`\displaystyle \large{5(2x - 3) = - 4(x + 4) - 13}`

First step is to distribute 5 and -4 in the expression.

`\displaystyle \large{10x- 15= -4x - 16- 13}`

Add both sides by 4x so we can move -4x to add like term.

`\displaystyle \large{10x- 15 + 4x= -4x + 4x - 16- 13} \\ \displaystyle \large{10x- 15 + 4x= - 16- 13}`

Then add both sides by 15.

`\displaystyle \large{10x- 15 + 15+ 4x= - 16- 13 + 15} \\ \displaystyle \large{10x + 4x= - 16- 13 + 15}`

Combine like terms.

`\displaystyle \large{14x= - 14}`

Divide both sides by 14.

`\displaystyle \large{ (14x)/(14) = ( - 14)/(14) } \\ \displaystyle \large{x= -1}`

Answer

• x = -1