-2(z-4)-(3z-2)=3(z-1)+2(z-3)

Solution for -2(z-4)-(3z-2)=3(z-1)+2(z-3) equation:

Simplifying
-2(z + -4) + -1(3z + -2) = 3(z + -1) + 2(z + -3)

Reorder the terms:
-2(-4 + z) + -1(3z + -2) = 3(z + -1) + 2(z + -3)
(-4 * -2 + z * -2) + -1(3z + -2) = 3(z + -1) + 2(z + -3)
(8 + -2z) + -1(3z + -2) = 3(z + -1) + 2(z + -3)

Reorder the terms:
8 + -2z + -1(-2 + 3z) = 3(z + -1) + 2(z + -3)
8 + -2z + (-2 * -1 + 3z * -1) = 3(z + -1) + 2(z + -3)
8 + -2z + (2 + -3z) = 3(z + -1) + 2(z + -3)

Reorder the terms:
8 + 2 + -2z + -3z = 3(z + -1) + 2(z + -3)

Combine like terms: 8 + 2 = 10
10 + -2z + -3z = 3(z + -1) + 2(z + -3)

Combine like terms: -2z + -3z = -5z
10 + -5z = 3(z + -1) + 2(z + -3)

Reorder the terms:
10 + -5z = 3(-1 + z) + 2(z + -3)
10 + -5z = (-1 * 3 + z * 3) + 2(z + -3)
10 + -5z = (-3 + 3z) + 2(z + -3)

Reorder the terms:
10 + -5z = -3 + 3z + 2(-3 + z)
10 + -5z = -3 + 3z + (-3 * 2 + z * 2)
10 + -5z = -3 + 3z + (-6 + 2z)

Reorder the terms:
10 + -5z = -3 + -6 + 3z + 2z

Combine like terms: -3 + -6 = -9
10 + -5z = -9 + 3z + 2z

Combine like terms: 3z + 2z = 5z
10 + -5z = -9 + 5z

Solving
10 + -5z = -9 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
10 + -5z + -5z = -9 + 5z + -5z

Combine like terms: -5z + -5z = -10z
10 + -10z = -9 + 5z + -5z

Combine like terms: 5z + -5z = 0
10 + -10z = -9 + 0
10 + -10z = -9

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

Combine like terms: 10 + -10 = 0
0 + -10z = -9 + -10
-10z = -9 + -10

Combine like terms: -9 + -10 = -19
-10z = -19

Divide each side by '-10'.
z = 1.9

Simplifying
z = 1.9