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

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


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

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

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

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

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

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

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

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

Combine like terms: 6 + 2 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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