3z-2(z-7)=3+2z

Solution for 3z-2(z-7)=3+2z equation:

Simplifying
3z + -2(z + -7) = 3 + 2z

Reorder the terms:
3z + -2(-7 + z) = 3 + 2z
3z + (-7 * -2 + z * -2) = 3 + 2z
3z + (14 + -2z) = 3 + 2z

Reorder the terms:
14 + 3z + -2z = 3 + 2z

Combine like terms: 3z + -2z = 1z
14 + 1z = 3 + 2z

Solving
14 + 1z = 3 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
14 + 1z + -2z = 3 + 2z + -2z

Combine like terms: 1z + -2z = -1z
14 + -1z = 3 + 2z + -2z

Combine like terms: 2z + -2z = 0
14 + -1z = 3 + 0
14 + -1z = 3

Add '-14' to each side of the equation.
14 + -14 + -1z = 3 + -14

Combine like terms: 14 + -14 = 0
0 + -1z = 3 + -14
-1z = 3 + -14

Combine like terms: 3 + -14 = -11
-1z = -11

Divide each side by '-1'.
z = 11

Simplifying
z = 11