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

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


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

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

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

Reorder the terms:
-5 + 1 + 2x = 4x + 2

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

Reorder the terms:
-4 + 2x = 2 + 4x

Solving
-4 + 2x = 2 + 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.
-4 + 2x + -4x = 2 + 4x + -4x

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

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

Add '4' to each side of the equation.
-4 + 4 + -2x = 2 + 4

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

Combine like terms: 2 + 4 = 6
-2x = 6

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

Simplifying
x = -3

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