(x-5)+(5x+12)=25

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Solution for (x-5)+(5x+12)=25 equation:


Simplifying
(x + -5) + (5x + 12) = 25

Reorder the terms:
(-5 + x) + (5x + 12) = 25

Remove parenthesis around (-5 + x)
-5 + x + (5x + 12) = 25

Reorder the terms:
-5 + x + (12 + 5x) = 25

Remove parenthesis around (12 + 5x)
-5 + x + 12 + 5x = 25

Reorder the terms:
-5 + 12 + x + 5x = 25

Combine like terms: -5 + 12 = 7
7 + x + 5x = 25

Combine like terms: x + 5x = 6x
7 + 6x = 25

Solving
7 + 6x = 25

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 6x = 25 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 25 + -7
6x = 25 + -7

Combine like terms: 25 + -7 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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