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

Solve the following linear equation Express your answer as an integer simplified fraction or decimalrounded to two decimal places5x 2 14x 3 5x 10x 31 class=

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ANSWER

x = -9

EXPLANATION

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

[tex]\begin{gathered} (5x-14x)+(-2-3)=(5x-10x)+31 \\ \\ -9x-5=-5x+31 \end{gathered}[/tex]

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

[tex]\begin{gathered} 9x-9x-5=9x-5x+31 \\ -5=4x+31 \end{gathered}[/tex]

Subtract 31 from both sides,

[tex]\begin{gathered} -5-31=4x+31-31 \\ -36=4x \end{gathered}[/tex]

And divide both sides by 4,

[tex]\begin{gathered} \frac{-36}{4}=\frac{4x}{4} \\ -9=x \end{gathered}[/tex]

Hence, the solution is x = -9.

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