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

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

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

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

Combine like terms: 3z + z = 4z
-10 + 4z = 4z + -2z

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

Solving
-10 + 4z = 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.
-10 + 4z + -2z = 2z + -2z

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

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

Add '10' to each side of the equation.
-10 + 10 + 2z = 0 + 10

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

Combine like terms: 0 + 10 = 10
2z = 10

Divide each side by '2'.
z = 5

Simplifying
z = 5