(x-4)-(3x-1)=4

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Solution for (x-4)-(3x-1)=4 equation:


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

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

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

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

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

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

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

Solving
-3 + -2x = 4

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 = 4 + 3

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

Combine like terms: 4 + 3 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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