Chapter 8.5, Problem 49CCR

To determine

To simplify the expression $-2\left(x-2\right)+4x$

Answer to Problem 49CCR

  $2x+4$

Explanation of Solution

Given information:

The expression, $-2\left(x-2\right)+4x$

Concept used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Calculation:

In order to simplify the given expression, by add the like terms as shown below

  $\begin{array}{c}-2\left(x-2\right)+4x\\ =\left(-2\right)\cdot x+\left(-2\right)\cdot \left(-2\right)+4x\\ =-2x+4+4x\\ =2x+4\end{array}$

Thus, the given expression simplifies to $2x+4$