2(5z-3)-4(z-2)=

Solution for 2(5z-3)-4(z-2)= equation:

Simplifying
2(5z + -3) + -4(z + -2) = 0

Reorder the terms:
2(-3 + 5z) + -4(z + -2) = 0
(-3 * 2 + 5z * 2) + -4(z + -2) = 0
(-6 + 10z) + -4(z + -2) = 0

Reorder the terms:
-6 + 10z + -4(-2 + z) = 0
-6 + 10z + (-2 * -4 + z * -4) = 0
-6 + 10z + (8 + -4z) = 0

Reorder the terms:
-6 + 8 + 10z + -4z = 0

Combine like terms: -6 + 8 = 2
2 + 10z + -4z = 0

Combine like terms: 10z + -4z = 6z
2 + 6z = 0

Solving
2 + 6z = 0

Solving for variable 'z'.

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

Add '-2' to each side of the equation.
2 + -2 + 6z = 0 + -2

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

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

Divide each side by '6'.
z = -0.3333333333

Simplifying
z = -0.3333333333