(2x+5)=(4x+1)

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Solution for (2x+5)=(4x+1) equation:


Simplifying
(2x + 5) = (4x + 1)

Reorder the terms:
(5 + 2x) = (4x + 1)

Remove parenthesis around (5 + 2x)
5 + 2x = (4x + 1)

Reorder the terms:
5 + 2x = (1 + 4x)

Remove parenthesis around (1 + 4x)
5 + 2x = 1 + 4x

Solving
5 + 2x = 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 + 2x + -4x = 1 + 4x + -4x

Combine like terms: 2x + -4x = -2x
5 + -2x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -2x = 1 + 0
5 + -2x = 1

Add '-5' to each side of the equation.
5 + -5 + -2x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 1 + -5
-2x = 1 + -5

Combine like terms: 1 + -5 = -4
-2x = -4

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

Simplifying
x = 2

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