3(z-4)-z=4(z-6)

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Solution for 3(z-4)-z=4(z-6) equation:


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

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

Combine like terms: 3z + -1z = 2z
-12 + 2z = 4(z + -6)

Reorder the terms:
-12 + 2z = 4(-6 + z)
-12 + 2z = (-6 * 4 + z * 4)
-12 + 2z = (-24 + 4z)

Solving
-12 + 2z = -24 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-12 + 2z + -4z = -24 + 4z + -4z

Combine like terms: 2z + -4z = -2z
-12 + -2z = -24 + 4z + -4z

Combine like terms: 4z + -4z = 0
-12 + -2z = -24 + 0
-12 + -2z = -24

Add '12' to each side of the equation.
-12 + 12 + -2z = -24 + 12

Combine like terms: -12 + 12 = 0
0 + -2z = -24 + 12
-2z = -24 + 12

Combine like terms: -24 + 12 = -12
-2z = -12

Divide each side by '-2'.
z = 6

Simplifying
z = 6

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