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

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


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

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

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

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

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

Solving
5 + x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + x + -4x = -1 + 4x + -4x

Combine like terms: x + -4x = -3x
5 + -3x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -3x = -1 + 0
5 + -3x = -1

Add '-5' to each side of the equation.
5 + -5 + -3x = -1 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -1 + -5
-3x = -1 + -5

Combine like terms: -1 + -5 = -6
-3x = -6

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

Simplifying
x = 2

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