2(z-3)=3(x+4)

Solution for 2(z-3)=3(x+4) equation:

Simplifying
2(z + -3) = 3(x + 4)

Reorder the terms:
2(-3 + z) = 3(x + 4)
(-3 * 2 + z * 2) = 3(x + 4)
(-6 + 2z) = 3(x + 4)

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

Solving
-6 + 2z = 12 + 3x

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 + 2z = 12 + 6 + 3x

Combine like terms: -6 + 6 = 0
0 + 2z = 12 + 6 + 3x
2z = 12 + 6 + 3x

Combine like terms: 12 + 6 = 18
2z = 18 + 3x

Divide each side by '2'.
z = 9 + 1.5x

Simplifying
z = 9 + 1.5x