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

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


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

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

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

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 1 + -1 + 3x

Combine like terms: 1 + -1 = 0
0 + 2x = 1 + -1 + 3x
2x = 1 + -1 + 3x

Combine like terms: 1 + -1 = 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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