Question

Write an expression that is equivalent to 7 - 3(4 - 2x) - 10x.Show your work

Answer 1

The expression:

`7-3(4-2x)-10x\text{ }`

is equivalent to:

`4x-5`

Step-by-step explanation:

We want to write an expression equivalent to:

`7-3(4-2x)-10x`

First of all, we remove the bracket in the expression by multiplying the number outside the bracket by each of the elements inside the bracket.

`\begin{gathered} 7-(3*4)-(3*-2x)-10x \\ =7-12-(-6x)-10x \\ =7-12+6x-10x \end{gathered}`

Next, perform the addition and subtraction operations

`-5+4x`

This can also be written as:

`4x-5`