9z+6=2(5z-2)

Solution for 9z+6=2(5z-2) equation:

Simplifying
9z + 6 = 2(5z + -2)

Reorder the terms:
6 + 9z = 2(5z + -2)

Reorder the terms:
6 + 9z = 2(-2 + 5z)
6 + 9z = (-2 * 2 + 5z * 2)
6 + 9z = (-4 + 10z)

Solving
6 + 9z = -4 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
6 + 9z + -10z = -4 + 10z + -10z

Combine like terms: 9z + -10z = -1z
6 + -1z = -4 + 10z + -10z

Combine like terms: 10z + -10z = 0
6 + -1z = -4 + 0
6 + -1z = -4

Add '-6' to each side of the equation.
6 + -6 + -1z = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -1z = -4 + -6
-1z = -4 + -6

Combine like terms: -4 + -6 = -10
-1z = -10

Divide each side by '-1'.
z = 10

Simplifying
z = 10