Question

Solve:3x - 8 = 6(1 - 2x) + 16A. x = 5B. x = 2C. there are infinitely many solutions D. x = -2

Answer 1

`x=2`

Step by step explanation:

To solve the following equation, we need to use inverse operations to solve equations.

Addition and subtraction are inverse operations, multiplication, and division too.

Then,

`3x-8=6(1-2x)+16`

As a first step, apply the distributive property of multiplication:

`\begin{gathered} 3x-8=6-12x+16 \\ \end{gathered}`

Apply inverse operations:

`\begin{gathered} 3x+12x=6+16+8 \\ 15x=30 \\ x=(30)/(15) \\ x=2 \end{gathered}`