2(4z-1)3=3(z+2)

Solution for 2(4z-1)3=3(z+2) equation:

Simplifying
2(4z + -1) * 3 = 3(z + 2)

Reorder the terms:
2(-1 + 4z) * 3 = 3(z + 2)

Reorder the terms for easier multiplication:
2 * 3(-1 + 4z) = 3(z + 2)

Multiply 2 * 3
6(-1 + 4z) = 3(z + 2)
(-1 * 6 + 4z * 6) = 3(z + 2)
(-6 + 24z) = 3(z + 2)

Reorder the terms:
-6 + 24z = 3(2 + z)
-6 + 24z = (2 * 3 + z * 3)
-6 + 24z = (6 + 3z)

Solving
-6 + 24z = 6 + 3z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-3z' to each side of the equation.
-6 + 24z + -3z = 6 + 3z + -3z

Combine like terms: 24z + -3z = 21z
-6 + 21z = 6 + 3z + -3z

Combine like terms: 3z + -3z = 0
-6 + 21z = 6 + 0
-6 + 21z = 6

Add '6' to each side of the equation.
-6 + 6 + 21z = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 21z = 6 + 6
21z = 6 + 6

Combine like terms: 6 + 6 = 12
21z = 12

Divide each side by '21'.
z = 0.5714285714

Simplifying
z = 0.5714285714