6(x-7)=-5

Solution for 6(x-7)=-5 equation:

Simplifying
6(x + -7) = -5

Reorder the terms:
6(-7 + x) = -5
(-7 * 6 + x * 6) = -5
(-42 + 6x) = -5

Solving
-42 + 6x = -5

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 6x = -5 + 42

Combine like terms: -42 + 42 = 0
0 + 6x = -5 + 42
6x = -5 + 42

Combine like terms: -5 + 42 = 37
6x = 37

Divide each side by '6'.
x = 6.166666667

Simplifying
x = 6.166666667