7(x-3)+1=x^2-1-(x^2-1)

Solution for 7(x-3)+1=x^2-1-(x^2-1) equation:

Simplifying
7(x + -3) + 1 = x2 + -1 + -1(x2 + -1)

Reorder the terms:
7(-3 + x) + 1 = x2 + -1 + -1(x2 + -1)
(-3 * 7 + x * 7) + 1 = x2 + -1 + -1(x2 + -1)
(-21 + 7x) + 1 = x2 + -1 + -1(x2 + -1)

Reorder the terms:
-21 + 1 + 7x = x2 + -1 + -1(x2 + -1)

Combine like terms: -21 + 1 = -20
-20 + 7x = x2 + -1 + -1(x2 + -1)

Reorder the terms:
-20 + 7x = x2 + -1 + -1(-1 + x2)
-20 + 7x = x2 + -1 + (-1 * -1 + x2 * -1)
-20 + 7x = x2 + -1 + (1 + -1x2)

Reorder the terms:
-20 + 7x = -1 + 1 + x2 + -1x2

Combine like terms: -1 + 1 = 0
-20 + 7x = 0 + x2 + -1x2
-20 + 7x = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20 + 7x = 0

Solving
-20 + 7x = 0

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 7x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 7x = 0 + 20
7x = 0 + 20

Combine like terms: 0 + 20 = 20
7x = 20

Divide each side by '7'.
x = 2.857142857

Simplifying
x = 2.857142857