Chapter 6, Problem 11PFA

To determine

The equivalent expressions.

Answer to Problem 11PFA

The given statement is equivalent to statements A and C.

Explanation of Solution

Given information:

The given expression is $-3\left(-x+5\right)+6\left(x-4\right)-2x$ , and the optional statements are:

A $3\left(x-5\right)+4\left(x-6\right)$ B $9x-39$ C $7x-39$ D $x-39$

Formula used:

The given expression is simplified.

Calculations:

The given expression is $E=-3\left(-x+5\right)+6\left(x-4\right)-2x$ that can be simplified as:

  $\Rightarrow E:=3x-15+6x-24-2x$

  $\Rightarrow E:=3x-15+4x-24$

  $\Rightarrow E:=3\left(x-5\right)+4\left(x-6\right)$

  $\Rightarrow E:=7x-39$

Thus, option A and C are correct.

Conclusion:

The given statement is equivalent to statements A and C.