2(z-3)=5z-3

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

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

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

Reorder the terms:
-6 + 2z = -3 + 5z

Solving
-6 + 2z = -3 + 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 + 2z + -5z = -3 + 5z + -5z

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

Combine like terms: 5z + -5z = 0
-6 + -3z = -3 + 0
-6 + -3z = -3

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

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

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

Divide each side by '-3'.
z = -1

Simplifying
z = -1