Respuesta :

renknee

Answer:

z = 8/5 OR 1 3/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • [tex]2(4z-1)=3(z+2)[/tex]
  • [tex]2(4z)+2(-1)=3(z)+3(2)[/tex]
  • [tex]8z-2=3z+6[/tex]

Step 2: Subtract 3z from both sides.

  • [tex]8z - 2 - 3z = 3z + 6 - 3x[/tex]
  • [tex]5x - 2 = 6[/tex]

Step 3: Add 2 to both sides.

  • [tex]5x - 2 + 2 = 6 + 2[/tex]
  • [tex]5x = 8[/tex]

Step 4: Divide both sides by 5.

  • [tex]\frac{5x}{5} = \frac{8}{5}[/tex]
  • [tex]x = \frac{8}{5}[/tex] OR [tex]x = 1\frac{3}{5}[/tex]
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