2(z-21)=36-3(z-4)

Solution for 2(z-21)=36-3(z-4) equation:

Simplifying
2(z + -21) = 36 + -3(z + -4)

Reorder the terms:
2(-21 + z) = 36 + -3(z + -4)
(-21 * 2 + z * 2) = 36 + -3(z + -4)
(-42 + 2z) = 36 + -3(z + -4)

Reorder the terms:
-42 + 2z = 36 + -3(-4 + z)
-42 + 2z = 36 + (-4 * -3 + z * -3)
-42 + 2z = 36 + (12 + -3z)

Combine like terms: 36 + 12 = 48
-42 + 2z = 48 + -3z

Solving
-42 + 2z = 48 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
-42 + 2z + 3z = 48 + -3z + 3z

Combine like terms: 2z + 3z = 5z
-42 + 5z = 48 + -3z + 3z

Combine like terms: -3z + 3z = 0
-42 + 5z = 48 + 0
-42 + 5z = 48

Add '42' to each side of the equation.
-42 + 42 + 5z = 48 + 42

Combine like terms: -42 + 42 = 0
0 + 5z = 48 + 42
5z = 48 + 42

Combine like terms: 48 + 42 = 90
5z = 90

Divide each side by '5'.
z = 18

Simplifying
z = 18