13(x-3)=(x-1)+7

Solution for 13(x-3)=(x-1)+7 equation:

Simplifying
13(x + -3) = (x + -1) + 7

Reorder the terms:
13(-3 + x) = (x + -1) + 7
(-3 * 13 + x * 13) = (x + -1) + 7
(-39 + 13x) = (x + -1) + 7

Reorder the terms:
-39 + 13x = (-1 + x) + 7

Remove parenthesis around (-1 + x)
-39 + 13x = -1 + x + 7

Reorder the terms:
-39 + 13x = -1 + 7 + x

Combine like terms: -1 + 7 = 6
-39 + 13x = 6 + x

Solving
-39 + 13x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-39 + 13x + -1x = 6 + x + -1x

Combine like terms: 13x + -1x = 12x
-39 + 12x = 6 + x + -1x

Combine like terms: x + -1x = 0
-39 + 12x = 6 + 0
-39 + 12x = 6

Add '39' to each side of the equation.
-39 + 39 + 12x = 6 + 39

Combine like terms: -39 + 39 = 0
0 + 12x = 6 + 39
12x = 6 + 39

Combine like terms: 6 + 39 = 45
12x = 45

Divide each side by '12'.
x = 3.75

Simplifying
x = 3.75