6+4(2-z)=3z

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

Simplifying
6 + 4(2 + -1z) = 3z
6 + (2 * 4 + -1z * 4) = 3z
6 + (8 + -4z) = 3z

Combine like terms: 6 + 8 = 14
14 + -4z = 3z

Solving
14 + -4z = 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
14 + -4z + -3z = 3z + -3z

Combine like terms: -4z + -3z = -7z
14 + -7z = 3z + -3z

Combine like terms: 3z + -3z = 0
14 + -7z = 0

Add '-14' to each side of the equation.
14 + -14 + -7z = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -7z = 0 + -14
-7z = 0 + -14

Combine like terms: 0 + -14 = -14
-7z = -14

Divide each side by '-7'.
z = 2

Simplifying
z = 2