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

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


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

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

Reorder the terms:
-12 + 3x = 2(1 + 3x)
-12 + 3x = (1 * 2 + 3x * 2)
-12 + 3x = (2 + 6x)

Solving
-12 + 3x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-12 + 3x + -6x = 2 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-12 + -3x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -3x = 2 + 0
-12 + -3x = 2

Add '12' to each side of the equation.
-12 + 12 + -3x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = 2 + 12
-3x = 2 + 12

Combine like terms: 2 + 12 = 14
-3x = 14

Divide each side by '-3'.
x = -4.666666667

Simplifying
x = -4.666666667

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