three times the sum of a number and -5 equals -6 times the sum of the number and -2. Find the number.
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the statement:
Three times the sum of a number and -5 equals -6 times the sum of the number and -2.
Solution:
The statement can be written as,
3 (x + (-5)) = -6(x + (-2))
In order to determine the number, we simply solve for the value of x. The first step is to distribute 3 and -6 to its corresponding parenthesis.
3 (x - 5) = -6(x - 2)
3x - 15 = -6x + 12
transpoe -6x and -15 on the other side of the equation, note that when transposing a number, the sign changes.
3x + 6x = 12 + 15
9x = 27
Divide both sides by 9 in order to get the value of x.
x = 3
Final answer:
x = 3