Question

Solve the equation. $$ 2 x-6=20 $$

Short answer

The solution to the equation \(2x - 6 = 20\) is \(x = 13\).

Step-by-step solution

Apply addition inverse

First of all, apply the addition inverse to get rid of '-6' on the left side of equation. The addition inverse of '-6' is '+6'. So, add '6' to both sides of the equation: \[2x - 6 + 6 = 20 + 6\], which simplifies to \[2x = 26\].

Apply multiplication inverse

To keep 'x' alone in one side, divide both sides of the equation by '2', which is the Multiplicative Inverse of '2'. This gives: \[2x / 2 = 26 / 2\], which further simplifies to \[x = 13\].