6(z-1)=4(x-2)

Solution for 6(z-1)=4(x-2) equation:

Simplifying
6(z + -1) = 4(x + -2)

Reorder the terms:
6(-1 + z) = 4(x + -2)
(-1 * 6 + z * 6) = 4(x + -2)
(-6 + 6z) = 4(x + -2)

Reorder the terms:
-6 + 6z = 4(-2 + x)
-6 + 6z = (-2 * 4 + x * 4)
-6 + 6z = (-8 + 4x)

Solving
-6 + 6z = -8 + 4x

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + 6z = -8 + 6 + 4x

Combine like terms: -6 + 6 = 0
0 + 6z = -8 + 6 + 4x
6z = -8 + 6 + 4x

Combine like terms: -8 + 6 = -2
6z = -2 + 4x

Divide each side by '6'.
z = -0.3333333333 + 0.6666666667x

Simplifying
z = -0.3333333333 + 0.6666666667x