Chapter 7, Problem 1MCP

To determine

Solution of equation.

Answer to Problem 1MCP

Solution:

   $x=4$

Explanation of Solution

:

Given:

   $2-4(x+2)=5-3(2x+1)$

Concept Used:

Solve equations by addition, subtraction, distribution, multiplication and division.

Calculation:

   $2-4(x+2)=5-3(2x+1)$

Firstly, we distribute −4 and −3

   $\Rightarrow 2-4x-4\times 2=5-3\times 2x-3\times 1$

   $\Rightarrow 2-4x-8=5-6x-3$

Now, combine like terms

   $\Rightarrow -6-4x=2-6x$

Add 6xboth sides

   $\Rightarrow -6-4x+6x=2-6x+6x$

   $\Rightarrow -6+2x=2$

Add 6 both sides

   $\Rightarrow -6+2x+6=2+6$

   $\Rightarrow 2x=8$

Divide both sides by 2

   $\Rightarrow \frac{2x}{2}=\frac{8}{2}$

   $\therefore x=4$

Conclusion:

So,

   $x=4$