3(z-2)=5z-1

Solution for 3(z-2)=5z-1 equation:

Simplifying
3(z + -2) = 5z + -1

Reorder the terms:
3(-2 + z) = 5z + -1
(-2 * 3 + z * 3) = 5z + -1
(-6 + 3z) = 5z + -1

Reorder the terms:
-6 + 3z = -1 + 5z

Solving
-6 + 3z = -1 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-6 + 3z + -5z = -1 + 5z + -5z

Combine like terms: 3z + -5z = -2z
-6 + -2z = -1 + 5z + -5z

Combine like terms: 5z + -5z = 0
-6 + -2z = -1 + 0
-6 + -2z = -1

Add '6' to each side of the equation.
-6 + 6 + -2z = -1 + 6

Combine like terms: -6 + 6 = 0
0 + -2z = -1 + 6
-2z = -1 + 6

Combine like terms: -1 + 6 = 5
-2z = 5

Divide each side by '-2'.
z = -2.5

Simplifying
z = -2.5