(-14x-3)2=(8x+1)2

Solution for (-14x-3)2=(8x+1)2 equation:

Simplifying
(-14x + -3) * 2 = (8x + 1) * 2

Reorder the terms:
(-3 + -14x) * 2 = (8x + 1) * 2

Reorder the terms for easier multiplication:
2(-3 + -14x) = (8x + 1) * 2
(-3 * 2 + -14x * 2) = (8x + 1) * 2
(-6 + -28x) = (8x + 1) * 2

Reorder the terms:
-6 + -28x = (1 + 8x) * 2

Reorder the terms for easier multiplication:
-6 + -28x = 2(1 + 8x)
-6 + -28x = (1 * 2 + 8x * 2)
-6 + -28x = (2 + 16x)

Solving
-6 + -28x = 2 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-6 + -28x + -16x = 2 + 16x + -16x

Combine like terms: -28x + -16x = -44x
-6 + -44x = 2 + 16x + -16x

Combine like terms: 16x + -16x = 0
-6 + -44x = 2 + 0
-6 + -44x = 2

Add '6' to each side of the equation.
-6 + 6 + -44x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -44x = 2 + 6
-44x = 2 + 6

Combine like terms: 2 + 6 = 8
-44x = 8

Divide each side by '-44'.
x = -0.1818181818

Simplifying
x = -0.1818181818