3(x+4)=9(x-2)

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Solution for 3(x+4)=9(x-2) equation:


Simplifying
3(x + 4) = 9(x + -2)

Reorder the terms:
3(4 + x) = 9(x + -2)
(4 * 3 + x * 3) = 9(x + -2)
(12 + 3x) = 9(x + -2)

Reorder the terms:
12 + 3x = 9(-2 + x)
12 + 3x = (-2 * 9 + x * 9)
12 + 3x = (-18 + 9x)

Solving
12 + 3x = -18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
12 + 3x + -9x = -18 + 9x + -9x

Combine like terms: 3x + -9x = -6x
12 + -6x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
12 + -6x = -18 + 0
12 + -6x = -18

Add '-12' to each side of the equation.
12 + -12 + -6x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = -18 + -12
-6x = -18 + -12

Combine like terms: -18 + -12 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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