2[3x-4]=3x+1

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Solution for 2[3x-4]=3x+1 equation:


Simplifying
2[3x + -4] = 3x + 1

Reorder the terms:
2[-4 + 3x] = 3x + 1
[-4 * 2 + 3x * 2] = 3x + 1
[-8 + 6x] = 3x + 1

Reorder the terms:
-8 + 6x = 1 + 3x

Solving
-8 + 6x = 1 + 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.
-8 + 6x + -3x = 1 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-8 + 3x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 3x = 1 + 0
-8 + 3x = 1

Add '8' to each side of the equation.
-8 + 8 + 3x = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 1 + 8
3x = 1 + 8

Combine like terms: 1 + 8 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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