2(z-3)=8z+3

Solution for 2(z-3)=8z+3 equation:

Simplifying
2(z + -3) = 8z + 3

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

Reorder the terms:
-6 + 2z = 3 + 8z

Solving
-6 + 2z = 3 + 8z

Solving for variable 'z'.

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

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

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

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

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

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

Combine like terms: 3 + 6 = 9
-6z = 9

Divide each side by '-6'.
z = -1.5

Simplifying
z = -1.5