(x-4)=3(8-2x)

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Solution for (x-4)=3(8-2x) equation:


Simplifying
(x + -4) = 3(8 + -2x)

Reorder the terms:
(-4 + x) = 3(8 + -2x)

Remove parenthesis around (-4 + x)
-4 + x = 3(8 + -2x)
-4 + x = (8 * 3 + -2x * 3)
-4 + x = (24 + -6x)

Solving
-4 + x = 24 + -6x

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.
-4 + x + 6x = 24 + -6x + 6x

Combine like terms: x + 6x = 7x
-4 + 7x = 24 + -6x + 6x

Combine like terms: -6x + 6x = 0
-4 + 7x = 24 + 0
-4 + 7x = 24

Add '4' to each side of the equation.
-4 + 4 + 7x = 24 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 24 + 4
7x = 24 + 4

Combine like terms: 24 + 4 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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