(13x+7)-60=5x-10

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Solution for (13x+7)-60=5x-10 equation:


Simplifying
(13x + 7) + -60 = 5x + -10

Reorder the terms:
(7 + 13x) + -60 = 5x + -10

Remove parenthesis around (7 + 13x)
7 + 13x + -60 = 5x + -10

Reorder the terms:
7 + -60 + 13x = 5x + -10

Combine like terms: 7 + -60 = -53
-53 + 13x = 5x + -10

Reorder the terms:
-53 + 13x = -10 + 5x

Solving
-53 + 13x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-53 + 13x + -5x = -10 + 5x + -5x

Combine like terms: 13x + -5x = 8x
-53 + 8x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-53 + 8x = -10 + 0
-53 + 8x = -10

Add '53' to each side of the equation.
-53 + 53 + 8x = -10 + 53

Combine like terms: -53 + 53 = 0
0 + 8x = -10 + 53
8x = -10 + 53

Combine like terms: -10 + 53 = 43
8x = 43

Divide each side by '8'.
x = 5.375

Simplifying
x = 5.375

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