Question

Solve the following linear equation. Express your answer as an integer, simplified fraction, or decimalrounded to two decimal places.5x – 2 - 14x – 3 = 5x - 10x + 31

Answer 1

x = -9

Step-by-step explanation

To solve this equation, first, we have to add like terms,

`\begin{gathered} (5x-14x)+(-2-3)=(5x-10x)+31 \\ \\ -9x-5=-5x+31 \end{gathered}`

Then, add 9x to both sides of the equation,

`\begin{gathered} 9x-9x-5=9x-5x+31 \\ -5=4x+31 \end{gathered}`

Subtract 31 from both sides,

`\begin{gathered} -5-31=4x+31-31 \\ -36=4x \end{gathered}`

And divide both sides by 4,

`\begin{gathered} (-36)/(4)=(4x)/(4) \\ -9=x \end{gathered}`

Hence, the solution is x = -9.