(5x-21)=(4x+1)

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Solution for (5x-21)=(4x+1) equation:


Simplifying
(5x + -21) = (4x + 1)

Reorder the terms:
(-21 + 5x) = (4x + 1)

Remove parenthesis around (-21 + 5x)
-21 + 5x = (4x + 1)

Reorder the terms:
-21 + 5x = (1 + 4x)

Remove parenthesis around (1 + 4x)
-21 + 5x = 1 + 4x

Solving
-21 + 5x = 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.
-21 + 5x + -4x = 1 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-21 + 1x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + 1x = 1 + 0
-21 + 1x = 1

Add '21' to each side of the equation.
-21 + 21 + 1x = 1 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = 1 + 21
1x = 1 + 21

Combine like terms: 1 + 21 = 22
1x = 22

Divide each side by '1'.
x = 22

Simplifying
x = 22

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