(x-2)-(3x-8)=0

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Solution for (x-2)-(3x-8)=0 equation:


Simplifying
(x + -2) + -1(3x + -8) = 0

Reorder the terms:
(-2 + x) + -1(3x + -8) = 0

Remove parenthesis around (-2 + x)
-2 + x + -1(3x + -8) = 0

Reorder the terms:
-2 + x + -1(-8 + 3x) = 0
-2 + x + (-8 * -1 + 3x * -1) = 0
-2 + x + (8 + -3x) = 0

Reorder the terms:
-2 + 8 + x + -3x = 0

Combine like terms: -2 + 8 = 6
6 + x + -3x = 0

Combine like terms: x + -3x = -2x
6 + -2x = 0

Solving
6 + -2x = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -2x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 0 + -6
-2x = 0 + -6

Combine like terms: 0 + -6 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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