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.