2(x+1)=3x+2

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


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

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

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

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

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

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

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

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

Combine like terms: 3x + -3x = 0
-1x = 0

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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