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

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


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

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

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

Combine like terms: 3x + 2x = 5x
-6 + 5x = 3x + -2

Reorder the terms:
-6 + 5x = -2 + 3x

Solving
-6 + 5x = -2 + 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.
-6 + 5x + -3x = -2 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-6 + 2x = -2 + 3x + -3x

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

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

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

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

Divide each side by '2'.
x = 2

Simplifying
x = 2

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