25(x+25)+(37-x)=126

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Solution for 25(x+25)+(37-x)=126 equation:


Simplifying
25(x + 25) + (37 + -1x) = 126

Reorder the terms:
25(25 + x) + (37 + -1x) = 126
(25 * 25 + x * 25) + (37 + -1x) = 126
(625 + 25x) + (37 + -1x) = 126

Remove parenthesis around (37 + -1x)
625 + 25x + 37 + -1x = 126

Reorder the terms:
625 + 37 + 25x + -1x = 126

Combine like terms: 625 + 37 = 662
662 + 25x + -1x = 126

Combine like terms: 25x + -1x = 24x
662 + 24x = 126

Solving
662 + 24x = 126

Solving for variable 'x'.

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

Add '-662' to each side of the equation.
662 + -662 + 24x = 126 + -662

Combine like terms: 662 + -662 = 0
0 + 24x = 126 + -662
24x = 126 + -662

Combine like terms: 126 + -662 = -536
24x = -536

Divide each side by '24'.
x = -22.33333333

Simplifying
x = -22.33333333

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