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

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


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

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

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

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

Solving
2 + x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + x + -5x = -6 + 5x + -5x

Combine like terms: x + -5x = -4x
2 + -4x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -4x = -6 + 0
2 + -4x = -6

Add '-2' to each side of the equation.
2 + -2 + -4x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = -6 + -2
-4x = -6 + -2

Combine like terms: -6 + -2 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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