(5x+3)+(2x+21)=x

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Solution for (5x+3)+(2x+21)=x equation:


Simplifying
(5x + 3) + (2x + 21) = x

Reorder the terms:
(3 + 5x) + (2x + 21) = x

Remove parenthesis around (3 + 5x)
3 + 5x + (2x + 21) = x

Reorder the terms:
3 + 5x + (21 + 2x) = x

Remove parenthesis around (21 + 2x)
3 + 5x + 21 + 2x = x

Reorder the terms:
3 + 21 + 5x + 2x = x

Combine like terms: 3 + 21 = 24
24 + 5x + 2x = x

Combine like terms: 5x + 2x = 7x
24 + 7x = x

Solving
24 + 7x = 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 + 7x + -1x = x + -1x

Combine like terms: 7x + -1x = 6x
24 + 6x = x + -1x

Combine like terms: x + -1x = 0
24 + 6x = 0

Add '-24' to each side of the equation.
24 + -24 + 6x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 6x = 0 + -24
6x = 0 + -24

Combine like terms: 0 + -24 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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