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

Answer:

z = 8/5 OR 1 3/5

Step-by-step 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.

• $\frac{5x}{5} = \frac{8}{5}$
• $x = \frac{8}{5}$ OR $x = 1\frac{3}{5}$