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

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

Simplifying
(7x + 3) * 2 = (x + -1) * 2

Reorder the terms:
(3 + 7x) * 2 = (x + -1) * 2

Reorder the terms for easier multiplication:
2(3 + 7x) = (x + -1) * 2
(3 * 2 + 7x * 2) = (x + -1) * 2
(6 + 14x) = (x + -1) * 2

Reorder the terms:
6 + 14x = (-1 + x) * 2

Reorder the terms for easier multiplication:
6 + 14x = 2(-1 + x)
6 + 14x = (-1 * 2 + x * 2)
6 + 14x = (-2 + 2x)

Solving
6 + 14x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 14x + -2x = -2 + 2x + -2x

Combine like terms: 14x + -2x = 12x
6 + 12x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 12x = -2 + 0
6 + 12x = -2

Add '-6' to each side of the equation.
6 + -6 + 12x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 12x = -2 + -6
12x = -2 + -6

Combine like terms: -2 + -6 = -8
12x = -8

Divide each side by '12'.
x = -0.6666666667

Simplifying
x = -0.6666666667