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

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


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

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

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

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

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

Combine like terms: 6x + -6x = 0
-24 + -3x = 18 + 0
-24 + -3x = 18

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

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

Combine like terms: 18 + 24 = 42
-3x = 42

Divide each side by '-3'.
x = -14

Simplifying
x = -14

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