2(5z-3)-3(z+8)=

Solution for 2(5z-3)-3(z+8)= equation:

Simplifying
2(5z + -3) + -3(z + 8) = 0

Reorder the terms:
2(-3 + 5z) + -3(z + 8) = 0
(-3 * 2 + 5z * 2) + -3(z + 8) = 0
(-6 + 10z) + -3(z + 8) = 0

Reorder the terms:
-6 + 10z + -3(8 + z) = 0
-6 + 10z + (8 * -3 + z * -3) = 0
-6 + 10z + (-24 + -3z) = 0

Reorder the terms:
-6 + -24 + 10z + -3z = 0

Combine like terms: -6 + -24 = -30
-30 + 10z + -3z = 0

Combine like terms: 10z + -3z = 7z
-30 + 7z = 0

Solving
-30 + 7z = 0

Solving for variable 'z'.

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

Add '30' to each side of the equation.
-30 + 30 + 7z = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 7z = 0 + 30
7z = 0 + 30

Combine like terms: 0 + 30 = 30
7z = 30

Divide each side by '7'.
z = 4.285714286

Simplifying
z = 4.285714286