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

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


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

Reorder the terms:
9(-4 + 3x) = 3(x + 4)
(-4 * 9 + 3x * 9) = 3(x + 4)
(-36 + 27x) = 3(x + 4)

Reorder the terms:
-36 + 27x = 3(4 + x)
-36 + 27x = (4 * 3 + x * 3)
-36 + 27x = (12 + 3x)

Solving
-36 + 27x = 12 + 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.
-36 + 27x + -3x = 12 + 3x + -3x

Combine like terms: 27x + -3x = 24x
-36 + 24x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-36 + 24x = 12 + 0
-36 + 24x = 12

Add '36' to each side of the equation.
-36 + 36 + 24x = 12 + 36

Combine like terms: -36 + 36 = 0
0 + 24x = 12 + 36
24x = 12 + 36

Combine like terms: 12 + 36 = 48
24x = 48

Divide each side by '24'.
x = 2

Simplifying
x = 2

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