3(2z-6)-4(3z+1)=5-2(2+1)

Solution for 3(2z-6)-4(3z+1)=5-2(2+1) equation:

Simplifying
3(2z + -6) + -4(3z + 1) = 5 + -2(2 + 1)

Reorder the terms:
3(-6 + 2z) + -4(3z + 1) = 5 + -2(2 + 1)
(-6 * 3 + 2z * 3) + -4(3z + 1) = 5 + -2(2 + 1)
(-18 + 6z) + -4(3z + 1) = 5 + -2(2 + 1)

Reorder the terms:
-18 + 6z + -4(1 + 3z) = 5 + -2(2 + 1)
-18 + 6z + (1 * -4 + 3z * -4) = 5 + -2(2 + 1)
-18 + 6z + (-4 + -12z) = 5 + -2(2 + 1)

Reorder the terms:
-18 + -4 + 6z + -12z = 5 + -2(2 + 1)

Combine like terms: -18 + -4 = -22
-22 + 6z + -12z = 5 + -2(2 + 1)

Combine like terms: 6z + -12z = -6z
-22 + -6z = 5 + -2(2 + 1)

Combine like terms: 2 + 1 = 3
-22 + -6z = 5 + -2(3)

Multiply -2 * 3
-22 + -6z = 5 + -6

Combine like terms: 5 + -6 = -1
-22 + -6z = -1

Solving
-22 + -6z = -1

Solving for variable 'z'.

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

Add '22' to each side of the equation.
-22 + 22 + -6z = -1 + 22

Combine like terms: -22 + 22 = 0
0 + -6z = -1 + 22
-6z = -1 + 22

Combine like terms: -1 + 22 = 21
-6z = 21

Divide each side by '-6'.
z = -3.5

Simplifying
z = -3.5