7(x-7)-5=25x-108

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Solution for 7(x-7)-5=25x-108 equation:


Simplifying
7(x + -7) + -5 = 25x + -108

Reorder the terms:
7(-7 + x) + -5 = 25x + -108
(-7 * 7 + x * 7) + -5 = 25x + -108
(-49 + 7x) + -5 = 25x + -108

Reorder the terms:
-49 + -5 + 7x = 25x + -108

Combine like terms: -49 + -5 = -54
-54 + 7x = 25x + -108

Reorder the terms:
-54 + 7x = -108 + 25x

Solving
-54 + 7x = -108 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
-54 + 7x + -25x = -108 + 25x + -25x

Combine like terms: 7x + -25x = -18x
-54 + -18x = -108 + 25x + -25x

Combine like terms: 25x + -25x = 0
-54 + -18x = -108 + 0
-54 + -18x = -108

Add '54' to each side of the equation.
-54 + 54 + -18x = -108 + 54

Combine like terms: -54 + 54 = 0
0 + -18x = -108 + 54
-18x = -108 + 54

Combine like terms: -108 + 54 = -54
-18x = -54

Divide each side by '-18'.
x = 3

Simplifying
x = 3

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