Question

What is the solution to the equation-2.5(x-4)=-3x+4

Answer 1

x=-12

Explanation:

Answer 2

x = -12

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.

• -25x = -30x - 60

5. Add 30x to both sides.

• -25x + 30x = -30x - 60 + 30x

6. Simplify

• 5x = 60

7. Divide 5 on both sides

• 
  `(5x)/(5) = (60)/(5)`

8. Simplify

• 
  `(5x)/(5)` = x
• 
  `(60)/(5)` = -12
• x = -12