(5x-24)=(x+52)

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Solution for (5x-24)=(x+52) equation:


Simplifying
(5x + -24) = (x + 52)

Reorder the terms:
(-24 + 5x) = (x + 52)

Remove parenthesis around (-24 + 5x)
-24 + 5x = (x + 52)

Reorder the terms:
-24 + 5x = (52 + x)

Remove parenthesis around (52 + x)
-24 + 5x = 52 + x

Solving
-24 + 5x = 52 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-24 + 5x + -1x = 52 + x + -1x

Combine like terms: 5x + -1x = 4x
-24 + 4x = 52 + x + -1x

Combine like terms: x + -1x = 0
-24 + 4x = 52 + 0
-24 + 4x = 52

Add '24' to each side of the equation.
-24 + 24 + 4x = 52 + 24

Combine like terms: -24 + 24 = 0
0 + 4x = 52 + 24
4x = 52 + 24

Combine like terms: 52 + 24 = 76
4x = 76

Divide each side by '4'.
x = 19

Simplifying
x = 19

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