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

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

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

Reorder the terms:
2(-1 + 4x) = 3(z + 2)
(-1 * 2 + 4x * 2) = 3(z + 2)
(-2 + 8x) = 3(z + 2)

Reorder the terms:
-2 + 8x = 3(2 + z)
-2 + 8x = (2 * 3 + z * 3)
-2 + 8x = (6 + 3z)

Solving
-2 + 8x = 6 + 3z

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 8x = 6 + 2 + 3z

Combine like terms: -2 + 2 = 0
0 + 8x = 6 + 2 + 3z
8x = 6 + 2 + 3z

Combine like terms: 6 + 2 = 8
8x = 8 + 3z

Divide each side by '8'.
x = 1 + 0.375z

Simplifying
x = 1 + 0.375z