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

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

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

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

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

Combine like terms: 78 + -3 = 75
75 + 13x = 3 + -5

Combine like terms: 3 + -5 = -2
75 + 13x = -2

Solving
75 + 13x = -2

Solving for variable 'x'.

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

Add '-75' to each side of the equation.
75 + -75 + 13x = -2 + -75

Combine like terms: 75 + -75 = 0
0 + 13x = -2 + -75
13x = -2 + -75

Combine like terms: -2 + -75 = -77
13x = -77

Divide each side by '13'.
x = -5.923076923

Simplifying
x = -5.923076923