Answer:
x = -12
Step-by-step explanation:
1. Multiply both sides by 10.
- -2.5 (x-4) · 10 = -3x · 10 + 4 · 10
- -25 (x-4) · 10 = -30x + 40
2. Apply the Distributive Property.
- -25x - (-25) · 4
- Apply minus - plus rule
- -25x + 25 · 4
- Multiply the number 25 · 4
- -25x + 100
- Put it back together
- -25x + 100 = -30x + 40
3. Subtract 100 from both sides.
- -25x + 100 - 100 = -30x + 40 - 100
4. Simplify.
5. Add 30x to both sides.
- -25x + 30x = -30x - 60 + 30x
6. Simplify
7. Divide 5 on both sides
- [tex]\frac{5x}{5} = \frac{60}{5}[/tex]
8. Simplify
- [tex]\frac{5x}{5}[/tex] = x
- [tex]\frac{60}{5}[/tex] = -12
- x = -12
