1. 2 (x-3) = 9+ 3 (x-9)
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the equation:
2 (x-3) = 9+ 3 (x-9)
Simplify.
Solution:
In order to simplify the given equation, we simply need to distribute 2 and 3 first to their corresponding parenthesis and then combine like terms.
2 (x-3) = 9+ 3 (x-9)
2x - 6 = 9 + 3x - 27
Transpose 2x - 6 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
= 9 + 3x - 27 - 2x + 6
= x - 12
To determine the value of x, we simply transpose -12 to the other side of the equation.
x = 12
Final answer:
Simplified form = x - 12
x = 12