10(2+1)-3(z-2z)+12=3(z-4)+3(z-4)

Solution for 10(2+1)-3(z-2z)+12=3(z-4)+3(z-4) equation:

Simplifying
10(2 + 1) + -3(z + -2z) + 12 = 3(z + -4) + 3(z + -4)

Combine like terms: 2 + 1 = 3
10(3) + -3(z + -2z) + 12 = 3(z + -4) + 3(z + -4)

Multiply 10 * 3
30 + -3(z + -2z) + 12 = 3(z + -4) + 3(z + -4)

Combine like terms: z + -2z = -1z
30 + -3(-1z) + 12 = 3(z + -4) + 3(z + -4)

Remove parenthesis around (-1z)
30 + -3 * -1z + 12 = 3(z + -4) + 3(z + -4)

Multiply -3 * -1
30 + 3z + 12 = 3(z + -4) + 3(z + -4)

Reorder the terms:
30 + 12 + 3z = 3(z + -4) + 3(z + -4)

Combine like terms: 30 + 12 = 42
42 + 3z = 3(z + -4) + 3(z + -4)

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

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

Reorder the terms:
42 + 3z = -12 + -12 + 3z + 3z

Combine like terms: -12 + -12 = -24
42 + 3z = -24 + 3z + 3z

Combine like terms: 3z + 3z = 6z
42 + 3z = -24 + 6z

Solving
42 + 3z = -24 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
42 + 3z + -6z = -24 + 6z + -6z

Combine like terms: 3z + -6z = -3z
42 + -3z = -24 + 6z + -6z

Combine like terms: 6z + -6z = 0
42 + -3z = -24 + 0
42 + -3z = -24

Add '-42' to each side of the equation.
42 + -42 + -3z = -24 + -42

Combine like terms: 42 + -42 = 0
0 + -3z = -24 + -42
-3z = -24 + -42

Combine like terms: -24 + -42 = -66
-3z = -66

Divide each side by '-3'.
z = 22

Simplifying
z = 22