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

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


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

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

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

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

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

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

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

Solving
-4 + 5x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 5x + -2x = 2 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-4 + 3x = 2 + 2x + -2x

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

Add '4' to each side of the equation.
-4 + 4 + 3x = 2 + 4

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

Combine like terms: 2 + 4 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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