3x+2=2(x+1)

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


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

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

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

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

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

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

Solving
3x = 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
1x = 0

Divide each side by '1'.
x = 0

Simplifying
x = 0

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