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

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


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

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

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

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

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

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

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

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

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

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

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

Solving
1x = z

Solving for variable 'x'.

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

Divide each side by '1'.
x = z

Simplifying
x = z

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