(3x-1)-(2x+3)=6

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Solution for (3x-1)-(2x+3)=6 equation:


Simplifying
(3x + -1) + -1(2x + 3) = 6

Reorder the terms:
(-1 + 3x) + -1(2x + 3) = 6

Remove parenthesis around (-1 + 3x)
-1 + 3x + -1(2x + 3) = 6

Reorder the terms:
-1 + 3x + -1(3 + 2x) = 6
-1 + 3x + (3 * -1 + 2x * -1) = 6
-1 + 3x + (-3 + -2x) = 6

Reorder the terms:
-1 + -3 + 3x + -2x = 6

Combine like terms: -1 + -3 = -4
-4 + 3x + -2x = 6

Combine like terms: 3x + -2x = 1x
-4 + 1x = 6

Solving
-4 + 1x = 6

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 1x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 6 + 4
1x = 6 + 4

Combine like terms: 6 + 4 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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