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

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

Simplifying
-5(z + 8) + -1(-8z + -3) = 2z

Reorder the terms:
-5(8 + z) + -1(-8z + -3) = 2z
(8 * -5 + z * -5) + -1(-8z + -3) = 2z
(-40 + -5z) + -1(-8z + -3) = 2z

Reorder the terms:
-40 + -5z + -1(-3 + -8z) = 2z
-40 + -5z + (-3 * -1 + -8z * -1) = 2z
-40 + -5z + (3 + 8z) = 2z

Reorder the terms:
-40 + 3 + -5z + 8z = 2z

Combine like terms: -40 + 3 = -37
-37 + -5z + 8z = 2z

Combine like terms: -5z + 8z = 3z
-37 + 3z = 2z

Solving
-37 + 3z = 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-37 + 3z + -2z = 2z + -2z

Combine like terms: 3z + -2z = 1z
-37 + 1z = 2z + -2z

Combine like terms: 2z + -2z = 0
-37 + 1z = 0

Add '37' to each side of the equation.
-37 + 37 + 1z = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 1z = 0 + 37
1z = 0 + 37

Combine like terms: 0 + 37 = 37
1z = 37

Divide each side by '1'.
z = 37

Simplifying
z = 37