Equation 2: 7x − 8x + 3 = 4(x + 5) true or false

Answer 1

To determine whether the equation is true or false, we can simplify it:

Starting with the left side of the equation:
7x - 8x + 3
= - x + 3

Now simplifying the right side of the equation:
4(x + 5)
= 4x + 20

So the equation becomes:
- x + 3 = 4x + 20

Rearranging the equation:
- x - 4x = 20 - 3
- 5x = 17

Dividing both sides of the equation by -5:
x = - 17/5

Therefore, the equation is false.

Note: It is always a good practice to check our solution by substituting x back into the original equation.