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

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


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

Reorder the terms:
2(1 + 3x) = 3(4x + 1)
(1 * 2 + 3x * 2) = 3(4x + 1)
(2 + 6x) = 3(4x + 1)

Reorder the terms:
2 + 6x = 3(1 + 4x)
2 + 6x = (1 * 3 + 4x * 3)
2 + 6x = (3 + 12x)

Solving
2 + 6x = 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.
2 + 6x + -12x = 3 + 12x + -12x

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

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

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

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

Combine like terms: 3 + -2 = 1
-6x = 1

Divide each side by '-6'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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