4z+6=2(3z-10)

Solution for 4z+6=2(3z-10) equation:

Simplifying
4z + 6 = 2(3z + -10)

Reorder the terms:
6 + 4z = 2(3z + -10)

Reorder the terms:
6 + 4z = 2(-10 + 3z)
6 + 4z = (-10 * 2 + 3z * 2)
6 + 4z = (-20 + 6z)

Solving
6 + 4z = -20 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
6 + 4z + -6z = -20 + 6z + -6z

Combine like terms: 4z + -6z = -2z
6 + -2z = -20 + 6z + -6z

Combine like terms: 6z + -6z = 0
6 + -2z = -20 + 0
6 + -2z = -20

Add '-6' to each side of the equation.
6 + -6 + -2z = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -2z = -20 + -6
-2z = -20 + -6

Combine like terms: -20 + -6 = -26
-2z = -26

Divide each side by '-2'.
z = 13

Simplifying
z = 13