6(x+9)+7x+14= Distributive Property=simplifying am Expression By multiplying a number a sum or difference.
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the equation:
6(x + 9) + 7x + 14
Simplify the expression.
Solution:
In order to simplify the given expression, we distribute first 6 to each value inside the parenthesis, and then after distribution, we combine like terms.
= 6(x + 9) + 7x + 14
= 6x + 54 + 7x + 14
= 13x + 68
If we are asked to find for x, we simply need to transpose 68 to the other side of the equation, and divide both sides by 13 in order to cancel out 13x, leaving behind x. Hence, we must take note that in transposing a number, the sign changes.
13x = -68
13x/13 = - 68/13
x = -68/13
Final answer:
Simplfieid form: 13x + 68
x = -68/13