(3x-2)-(x-5)=

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Solution for (3x-2)-(x-5)= equation:


Simplifying
(3x + -2) + -1(x + -5) = 0

Reorder the terms:
(-2 + 3x) + -1(x + -5) = 0

Remove parenthesis around (-2 + 3x)
-2 + 3x + -1(x + -5) = 0

Reorder the terms:
-2 + 3x + -1(-5 + x) = 0
-2 + 3x + (-5 * -1 + x * -1) = 0
-2 + 3x + (5 + -1x) = 0

Reorder the terms:
-2 + 5 + 3x + -1x = 0

Combine like terms: -2 + 5 = 3
3 + 3x + -1x = 0

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

Solving
3 + 2x = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

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

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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