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

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


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

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

Combine like terms: 4 + 24 = 28
28 + -6x = 2(x + -4)

Reorder the terms:
28 + -6x = 2(-4 + x)
28 + -6x = (-4 * 2 + x * 2)
28 + -6x = (-8 + 2x)

Solving
28 + -6x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
28 + -6x + -2x = -8 + 2x + -2x

Combine like terms: -6x + -2x = -8x
28 + -8x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
28 + -8x = -8 + 0
28 + -8x = -8

Add '-28' to each side of the equation.
28 + -28 + -8x = -8 + -28

Combine like terms: 28 + -28 = 0
0 + -8x = -8 + -28
-8x = -8 + -28

Combine like terms: -8 + -28 = -36
-8x = -36

Divide each side by '-8'.
x = 4.5

Simplifying
x = 4.5

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