3(3x-1)=4(12-2x)

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Solution for 3(3x-1)=4(12-2x) equation:


Simplifying
3(3x + -1) = 4(12 + -2x)

Reorder the terms:
3(-1 + 3x) = 4(12 + -2x)
(-1 * 3 + 3x * 3) = 4(12 + -2x)
(-3 + 9x) = 4(12 + -2x)
-3 + 9x = (12 * 4 + -2x * 4)
-3 + 9x = (48 + -8x)

Solving
-3 + 9x = 48 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-3 + 9x + 8x = 48 + -8x + 8x

Combine like terms: 9x + 8x = 17x
-3 + 17x = 48 + -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + 17x = 48 + 0
-3 + 17x = 48

Add '3' to each side of the equation.
-3 + 3 + 17x = 48 + 3

Combine like terms: -3 + 3 = 0
0 + 17x = 48 + 3
17x = 48 + 3

Combine like terms: 48 + 3 = 51
17x = 51

Divide each side by '17'.
x = 3

Simplifying
x = 3

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