(x-5)-(4x+1)=0

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Solution for (x-5)-(4x+1)=0 equation:


Simplifying
(x + -5) + -1(4x + 1) = 0

Reorder the terms:
(-5 + x) + -1(4x + 1) = 0

Remove parenthesis around (-5 + x)
-5 + x + -1(4x + 1) = 0

Reorder the terms:
-5 + x + -1(1 + 4x) = 0
-5 + x + (1 * -1 + 4x * -1) = 0
-5 + x + (-1 + -4x) = 0

Reorder the terms:
-5 + -1 + x + -4x = 0

Combine like terms: -5 + -1 = -6
-6 + x + -4x = 0

Combine like terms: x + -4x = -3x
-6 + -3x = 0

Solving
-6 + -3x = 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 + -3x = 0 + 6

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

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

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

Simplifying
x = -2

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