7(x+6)=1(x-9)

Solution for 7(x+6)=1(x-9) equation:

Simplifying
7(x + 6) = 1(x + -9)

Reorder the terms:
7(6 + x) = 1(x + -9)
(6 * 7 + x * 7) = 1(x + -9)
(42 + 7x) = 1(x + -9)

Reorder the terms:
42 + 7x = 1(-9 + x)
42 + 7x = (-9 * 1 + x * 1)
42 + 7x = (-9 + 1x)

Solving
42 + 7x = -9 + 1x

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.
42 + 7x + -1x = -9 + 1x + -1x

Combine like terms: 7x + -1x = 6x
42 + 6x = -9 + 1x + -1x

Combine like terms: 1x + -1x = 0
42 + 6x = -9 + 0
42 + 6x = -9

Add '-42' to each side of the equation.
42 + -42 + 6x = -9 + -42

Combine like terms: 42 + -42 = 0
0 + 6x = -9 + -42
6x = -9 + -42

Combine like terms: -9 + -42 = -51
6x = -51

Divide each side by '6'.
x = -8.5

Simplifying
x = -8.5