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

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

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

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

Combine like terms: 2 + 1 = 3
3 + -4z = 3(z + 2)

Reorder the terms:
3 + -4z = 3(2 + z)
3 + -4z = (2 * 3 + z * 3)
3 + -4z = (6 + 3z)

Solving
3 + -4z = 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.
3 + -4z + -3z = 6 + 3z + -3z

Combine like terms: -4z + -3z = -7z
3 + -7z = 6 + 3z + -3z

Combine like terms: 3z + -3z = 0
3 + -7z = 6 + 0
3 + -7z = 6

Add '-3' to each side of the equation.
3 + -3 + -7z = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -7z = 6 + -3
-7z = 6 + -3

Combine like terms: 6 + -3 = 3
-7z = 3

Divide each side by '-7'.
z = -0.4285714286

Simplifying
z = -0.4285714286