6+2(z-3)=5z+3

Solution for 6+2(z-3)=5z+3 equation:

Simplifying
6 + 2(z + -3) = 5z + 3

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

Combine like terms: 6 + -6 = 0
0 + 2z = 5z + 3
2z = 5z + 3

Reorder the terms:
2z = 3 + 5z

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

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

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

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

Simplifying
z = -1