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

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


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

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

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

Reorder the terms:
2 + -6 + 6x + -3x = 2

Combine like terms: 2 + -6 = -4
-4 + 6x + -3x = 2

Combine like terms: 6x + -3x = 3x
-4 + 3x = 2

Solving
-4 + 3x = 2

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 3x = 2 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 2 + 4
3x = 2 + 4

Combine like terms: 2 + 4 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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