(5x-2)-(3x-8)=0

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Solution for (5x-2)-(3x-8)=0 equation:


Simplifying
(5x + -2) + -1(3x + -8) = 0

Reorder the terms:
(-2 + 5x) + -1(3x + -8) = 0

Remove parenthesis around (-2 + 5x)
-2 + 5x + -1(3x + -8) = 0

Reorder the terms:
-2 + 5x + -1(-8 + 3x) = 0
-2 + 5x + (-8 * -1 + 3x * -1) = 0
-2 + 5x + (8 + -3x) = 0

Reorder the terms:
-2 + 8 + 5x + -3x = 0

Combine like terms: -2 + 8 = 6
6 + 5x + -3x = 0

Combine like terms: 5x + -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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