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

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


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

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

Reorder the terms:
-9 + 3x = 4(-9 + 3x)
-9 + 3x = (-9 * 4 + 3x * 4)
-9 + 3x = (-36 + 12x)

Solving
-9 + 3x = -36 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-9 + 3x + -12x = -36 + 12x + -12x

Combine like terms: 3x + -12x = -9x
-9 + -9x = -36 + 12x + -12x

Combine like terms: 12x + -12x = 0
-9 + -9x = -36 + 0
-9 + -9x = -36

Add '9' to each side of the equation.
-9 + 9 + -9x = -36 + 9

Combine like terms: -9 + 9 = 0
0 + -9x = -36 + 9
-9x = -36 + 9

Combine like terms: -36 + 9 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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