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

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


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

Reorder the terms:
6(-4 + x) = 2x + -1(6 + x)
(-4 * 6 + x * 6) = 2x + -1(6 + x)
(-24 + 6x) = 2x + -1(6 + x)
-24 + 6x = 2x + (6 * -1 + x * -1)
-24 + 6x = 2x + (-6 + -1x)

Reorder the terms:
-24 + 6x = -6 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-24 + 6x = -6 + 1x

Solving
-24 + 6x = -6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-24 + 6x + -1x = -6 + 1x + -1x

Combine like terms: 6x + -1x = 5x
-24 + 5x = -6 + 1x + -1x

Combine like terms: 1x + -1x = 0
-24 + 5x = -6 + 0
-24 + 5x = -6

Add '24' to each side of the equation.
-24 + 24 + 5x = -6 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = -6 + 24
5x = -6 + 24

Combine like terms: -6 + 24 = 18
5x = 18

Divide each side by '5'.
x = 3.6

Simplifying
x = 3.6

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