-3+11=-2z+3(z-2)

Solution for -3+11=-2z+3(z-2) equation:

Simplifying
-3 + 11 = -2z + 3(z + -2)

Combine like terms: -3 + 11 = 8
8 = -2z + 3(z + -2)

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

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

Combine like terms: -2z + 3z = 1z
8 = -6 + 1z

Solving
8 = -6 + 1z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
8 + -1z = -6 + 1z + -1z

Combine like terms: 1z + -1z = 0
8 + -1z = -6 + 0
8 + -1z = -6

Add '-8' to each side of the equation.
8 + -8 + -1z = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -1z = -6 + -8
-1z = -6 + -8

Combine like terms: -6 + -8 = -14
-1z = -14

Divide each side by '-1'.
z = 14

Simplifying
z = 14