3(x-2)=2(z-1)

Solution for 3(x-2)=2(z-1) equation:

Simplifying
3(x + -2) = 2(z + -1)

Reorder the terms:
3(-2 + x) = 2(z + -1)
(-2 * 3 + x * 3) = 2(z + -1)
(-6 + 3x) = 2(z + -1)

Reorder the terms:
-6 + 3x = 2(-1 + z)
-6 + 3x = (-1 * 2 + z * 2)
-6 + 3x = (-2 + 2z)

Solving
-6 + 3x = -2 + 2z

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 3x = -2 + 6 + 2z

Combine like terms: -6 + 6 = 0
0 + 3x = -2 + 6 + 2z
3x = -2 + 6 + 2z

Combine like terms: -2 + 6 = 4
3x = 4 + 2z

Divide each side by '3'.
x = 1.333333333 + 0.6666666667z

Simplifying
x = 1.333333333 + 0.6666666667z