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

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


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

Reorder the terms:
2(-4 + x) = 6(x + -1z)
(-4 * 2 + x * 2) = 6(x + -1z)
(-8 + 2x) = 6(x + -1z)
-8 + 2x = (x * 6 + -1z * 6)
-8 + 2x = (6x + -6z)

Solving
-8 + 2x = 6x + -6z

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 2x + -6x = 6x + -6x + -6z

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

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

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

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

Divide each side by '-4'.
x = -2 + 1.5z

Simplifying
x = -2 + 1.5z

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