2(z-21)=20-3(z-4)

Solution for 2(z-21)=20-3(z-4) equation:

Simplifying
2(z + -21) = 20 + -3(z + -4)

Reorder the terms:
2(-21 + z) = 20 + -3(z + -4)
(-21 * 2 + z * 2) = 20 + -3(z + -4)
(-42 + 2z) = 20 + -3(z + -4)

Reorder the terms:
-42 + 2z = 20 + -3(-4 + z)
-42 + 2z = 20 + (-4 * -3 + z * -3)
-42 + 2z = 20 + (12 + -3z)

Combine like terms: 20 + 12 = 32
-42 + 2z = 32 + -3z

Solving
-42 + 2z = 32 + -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 = 32 + -3z + 3z

Combine like terms: 2z + 3z = 5z
-42 + 5z = 32 + -3z + 3z

Combine like terms: -3z + 3z = 0
-42 + 5z = 32 + 0
-42 + 5z = 32

Add '42' to each side of the equation.
-42 + 42 + 5z = 32 + 42

Combine like terms: -42 + 42 = 0
0 + 5z = 32 + 42
5z = 32 + 42

Combine like terms: 32 + 42 = 74
5z = 74

Divide each side by '5'.
z = 14.8

Simplifying
z = 14.8