solve each equation. check your solution. 5 (x - 3) + 2x = 41

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Given the equation:

5 ( x - 3 ) + 2x = 41

Determine the value of the equation.

Solution:

In order to determine the value of the equation, we start first by multiplying 5 to each value inside the parenthesis. Then combine similar terms.

5 ( x - 3 ) + 2x = 41

5x - 15 + 2x = 41

7x - 15 = 41

Transpose -15 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

7x = 41 + 15

7x = 56

Divide both sides by 7 to determine the value of x.

7x/7 = 56/7

x = 8

Final answer:

x = 8