7(x+3)-(x-1)=5

Solution for 7(x+3)-(x-1)=5 equation:

Simplifying
7(x + 3) + -1(x + -1) = 5

Reorder the terms:
7(3 + x) + -1(x + -1) = 5
(3 * 7 + x * 7) + -1(x + -1) = 5
(21 + 7x) + -1(x + -1) = 5

Reorder the terms:
21 + 7x + -1(-1 + x) = 5
21 + 7x + (-1 * -1 + x * -1) = 5
21 + 7x + (1 + -1x) = 5

Reorder the terms:
21 + 1 + 7x + -1x = 5

Combine like terms: 21 + 1 = 22
22 + 7x + -1x = 5

Combine like terms: 7x + -1x = 6x
22 + 6x = 5

Solving
22 + 6x = 5

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 6x = 5 + -22

Combine like terms: 22 + -22 = 0
0 + 6x = 5 + -22
6x = 5 + -22

Combine like terms: 5 + -22 = -17
6x = -17

Divide each side by '6'.
x = -2.833333333

Simplifying
x = -2.833333333