13(x+6)=3x-5

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Solution for 13(x+6)=3x-5 equation:


Simplifying
13(x + 6) = 3x + -5

Reorder the terms:
13(6 + x) = 3x + -5
(6 * 13 + x * 13) = 3x + -5
(78 + 13x) = 3x + -5

Reorder the terms:
78 + 13x = -5 + 3x

Solving
78 + 13x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
78 + 13x + -3x = -5 + 3x + -3x

Combine like terms: 13x + -3x = 10x
78 + 10x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
78 + 10x = -5 + 0
78 + 10x = -5

Add '-78' to each side of the equation.
78 + -78 + 10x = -5 + -78

Combine like terms: 78 + -78 = 0
0 + 10x = -5 + -78
10x = -5 + -78

Combine like terms: -5 + -78 = -83
10x = -83

Divide each side by '10'.
x = -8.3

Simplifying
x = -8.3

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