3(3x+3)=3(4x-1)

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Solution for 3(3x+3)=3(4x-1) equation:


Simplifying
3(3x + 3) = 3(4x + -1)

Reorder the terms:
3(3 + 3x) = 3(4x + -1)
(3 * 3 + 3x * 3) = 3(4x + -1)
(9 + 9x) = 3(4x + -1)

Reorder the terms:
9 + 9x = 3(-1 + 4x)
9 + 9x = (-1 * 3 + 4x * 3)
9 + 9x = (-3 + 12x)

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

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

Combine like terms: 12x + -12x = 0
9 + -3x = -3 + 0
9 + -3x = -3

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

Combine like terms: 9 + -9 = 0
0 + -3x = -3 + -9
-3x = -3 + -9

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

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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