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

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


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

Reorder the terms:
3(-3 + x) = 6(8 + -1x)
(-3 * 3 + x * 3) = 6(8 + -1x)
(-9 + 3x) = 6(8 + -1x)
-9 + 3x = (8 * 6 + -1x * 6)
-9 + 3x = (48 + -6x)

Solving
-9 + 3x = 48 + -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.
-9 + 3x + 6x = 48 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-9 + 9x = 48 + -6x + 6x

Combine like terms: -6x + 6x = 0
-9 + 9x = 48 + 0
-9 + 9x = 48

Add '9' to each side of the equation.
-9 + 9 + 9x = 48 + 9

Combine like terms: -9 + 9 = 0
0 + 9x = 48 + 9
9x = 48 + 9

Combine like terms: 48 + 9 = 57
9x = 57

Divide each side by '9'.
x = 6.333333333

Simplifying
x = 6.333333333

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