Question

3.8x-(-1-9.7x) = 2.6 + 13.3xwhat is x?

Answer 1

The value of x is 8

Step-by-step explanation:

Given the equation:

`3.8x-(-1-9.7x)=2.6+13.3x`

Remove the parentheses

`\begin{gathered} 3.8x+1+9.7x=2.6+13.3x \\ \end{gathered}`

Collect like terms

`\begin{gathered} 3.8x+9.7x+1=2.6+13.3x \\ 13.5x+1=2.6+13.3x \end{gathered}`

Subtract 1 from both sides

`\begin{gathered} 13.5x+1-1=2.6+13.3x-1 \\ 13.5x=1.6+13.3x \end{gathered}`

Subtract 13.3x from both sides

`\begin{gathered} 13.5x-13.3x=1.6+13.3x-13.3x \\ 0.2x=1.6 \end{gathered}`

Divide both sides by 0.2

`\begin{gathered} (0.2x)/(0.2)=(1.6)/(0.2) \\ \\ x=8 \end{gathered}`