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

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


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

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

Remove parenthesis around (-2 + 3x)
-2 + 3x + -1(2x + 1) = x + 3

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

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

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

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

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

Solving
-3 + 1x = 3 + x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: 3 + 3 = 6
0 = 6

Simplifying
0 = 6

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

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

The solution to this equation could not be determined.

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