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

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


Simplifying
6(3 + -1x) = -3(x + -8)
(3 * 6 + -1x * 6) = -3(x + -8)
(18 + -6x) = -3(x + -8)

Reorder the terms:
18 + -6x = -3(-8 + x)
18 + -6x = (-8 * -3 + x * -3)
18 + -6x = (24 + -3x)

Solving
18 + -6x = 24 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
18 + -6x + 3x = 24 + -3x + 3x

Combine like terms: -6x + 3x = -3x
18 + -3x = 24 + -3x + 3x

Combine like terms: -3x + 3x = 0
18 + -3x = 24 + 0
18 + -3x = 24

Add '-18' to each side of the equation.
18 + -18 + -3x = 24 + -18

Combine like terms: 18 + -18 = 0
0 + -3x = 24 + -18
-3x = 24 + -18

Combine like terms: 24 + -18 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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