3(x-8)=6(-x+1)

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Solution for 3(x-8)=6(-x+1) equation:


Simplifying
3(x + -8) = 6(-1x + 1)

Reorder the terms:
3(-8 + x) = 6(-1x + 1)
(-8 * 3 + x * 3) = 6(-1x + 1)
(-24 + 3x) = 6(-1x + 1)

Reorder the terms:
-24 + 3x = 6(1 + -1x)
-24 + 3x = (1 * 6 + -1x * 6)
-24 + 3x = (6 + -6x)

Solving
-24 + 3x = 6 + -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.
-24 + 3x + 6x = 6 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-24 + 9x = 6 + -6x + 6x

Combine like terms: -6x + 6x = 0
-24 + 9x = 6 + 0
-24 + 9x = 6

Add '24' to each side of the equation.
-24 + 24 + 9x = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 9x = 6 + 24
9x = 6 + 24

Combine like terms: 6 + 24 = 30
9x = 30

Divide each side by '9'.
x = 3.333333333

Simplifying
x = 3.333333333

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