(3x-8)-(x-4)=0

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Solution for (3x-8)-(x-4)=0 equation:


Simplifying
(3x + -8) + -1(x + -4) = 0

Reorder the terms:
(-8 + 3x) + -1(x + -4) = 0

Remove parenthesis around (-8 + 3x)
-8 + 3x + -1(x + -4) = 0

Reorder the terms:
-8 + 3x + -1(-4 + x) = 0
-8 + 3x + (-4 * -1 + x * -1) = 0
-8 + 3x + (4 + -1x) = 0

Reorder the terms:
-8 + 4 + 3x + -1x = 0

Combine like terms: -8 + 4 = -4
-4 + 3x + -1x = 0

Combine like terms: 3x + -1x = 2x
-4 + 2x = 0

Solving
-4 + 2x = 0

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 + 2x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 0 + 4
2x = 0 + 4

Combine like terms: 0 + 4 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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