2(5z-3)-3(z+9)=

Solution for 2(5z-3)-3(z+9)= equation:

Simplifying
2(5z + -3) + -3(z + 9) = 0

Reorder the terms:
2(-3 + 5z) + -3(z + 9) = 0
(-3 * 2 + 5z * 2) + -3(z + 9) = 0
(-6 + 10z) + -3(z + 9) = 0

Reorder the terms:
-6 + 10z + -3(9 + z) = 0
-6 + 10z + (9 * -3 + z * -3) = 0
-6 + 10z + (-27 + -3z) = 0

Reorder the terms:
-6 + -27 + 10z + -3z = 0

Combine like terms: -6 + -27 = -33
-33 + 10z + -3z = 0

Combine like terms: 10z + -3z = 7z
-33 + 7z = 0

Solving
-33 + 7z = 0

Solving for variable 'z'.

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

Add '33' to each side of the equation.
-33 + 33 + 7z = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 7z = 0 + 33
7z = 0 + 33

Combine like terms: 0 + 33 = 33
7z = 33

Divide each side by '7'.
z = 4.714285714

Simplifying
z = 4.714285714