Question

2(4z−1)=3(z+2)
How do you solve this? Plz show step-by-step

Answer 1

Open the brackets
8z - 2 =3z +6
Collect like terms
8z - 3z = 6 +2
5z = 8
Divide both sides by 5
Therefore 8/5 is the answer

Answer 2

z = 8/5 OR 1 3/5

Explanation:

Step 1: Simplify both sides of the equation.

• 
  `2(4z-1)=3(z+2)`
• 
  `2(4z)+2(-1)=3(z)+3(2)`
• 
  `8z-2=3z+6`

Step 2: Subtract 3z from both sides.

• 
  `8z - 2 - 3z = 3z + 6 - 3x`
• 
  `5x - 2 = 6`

Step 3: Add 2 to both sides.

• 
  `5x - 2 + 2 = 6 + 2`
• 
  `5x = 8`

Step 4: Divide both sides by 5.

• 
  `(5x)/(5) = (8)/(5)`
• 
  `x = (8)/(5)` OR
  `x = 1(3)/(5)`