solve the equation, (-5x - 25 = 14 - 8x)
-5x - 25 = 14 - 8x
-5x + 8x = 14 + 25
3x = 39
x = 13
To solve the equation (-5x - 25 = 14 - 8x), we need to isolate the variable x on one side of the equation. We can do this by performing the same operation on both sides of the equation. Here's the step-by-step solution:
1. Distribute the negative sign to the terms within the parentheses:
-5x - 25 = 14 - 8x
becomes:
-5x - 25 = 14 + (-8x)
Simplifying further:
-5x - 25 = 14 - 8x
2. Combine like terms:
-5x - 25 = 14 - 8x
The x terms are -5x and -8x. Since they have the same variable, we can combine them:
-13x - 25 = 14
3. Add 13x to both sides of the equation to eliminate the x term on the left side. The goal is to get all the x terms on one side of the equation:
-13x - 25 + 13x = 14 + 13x
Simplifying further:
-25 = 14 + 13x - 13x
We get:
-25 = 14 + 0
4. Simplify:
-25 = 14
However, this equation is false. -25 does not equal 14.
5. Since the equation is false, there is no solution to this equation.