183k views
5 votes
5(x+14=x-13=9) what is x

1 Answer

0 votes

Answer:-83/4

Explanation:

To solve the equation 5(x+14=x-13=9) for x, we need to simplify the equation step by step.

First, let's remove the parentheses by applying the distributive property of multiplication over addition:

5x + 5(14) = 5x - 5(13) + 9

Next, we simplify the expressions inside the parentheses:

5x + 70 = 5x - 65 + 9

Now, let's combine like terms on both sides of the equation:

5x + 70 = 5x - 56

Since the variable term (5x) appears on both sides of the equation, we need to isolate it. To do that, we'll subtract 5x from both sides of the equation:

5x - 5x + 70 = 5x - 5x - 56

Simplifying further:

70 = -56

Now, we have reached a contradiction. The equation is not solvable because 70 is not equal to -56. Therefore, there is no value of x that satisfies this equation.

In conclusion, the given equation 5(x+14=x-13=9) has no solution for x.

User P D
by
7.9k points

No related questions found