3(x - 2) + 2 = 5(x - 3) + 9 por fa
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the equation:
3 ( x - 2) + 2 = 5 (x - 3) + 9
Solve for x.
Solution:
In order to solve for x, we simply need to distribute 3 and 5 to the corresponding values inside the parenthesis.
3 ( x - 2) + 2 = 5 (x - 3) + 9
3x - 6 + 2 = 5x - 15 + 9
3x - 4 = 5x - 6
Transpose 3x and -6 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
6 - 4 = 5x - 3x
2 = 2x
Divide both sides by 2 in order to cancel out 2x, leaving behind x.
2x/2 = 2/2
x =1
Final answer:
x = 1