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Find the missing number so that the equation has no solutions. $\newline$ $5x - 8 = \_\_\_\_x + 7$

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Create linear equations with no solutions or infinitely many solutions

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Q. Find the missing number so that the equation has no solutions.

\newline

5x - 8 = \_\_\_\_x + 7

Understand No Solutions: Understand when an equation has no solutions. An equation has no solutions when the two sides of the equation are parallel lines, which means the coefficients of $x$ are the same, but the constants are different.
Identify Coefficients and Constants: Identify the coefficients and constants in the given equation. $\newline$ In the equation 5x - 8 = ____x + 7, the coefficient of $x$ on the left side is $5$ , and the constants are $-8$ on the left side and $+7$ on the right side.
Determine Missing Number: Determine the missing number for the equation to have no solutions. $\newline$ For the equation to have no solutions, the coefficient of $x$ on the right side must be the same as on the left side, which is $5$ . However, the constants must remain different ( $-8$ and $+7$ ).
Write Final Equation: Write the final equation with the missing number. $\newline$ The final equation with no solutions is $5x - 8 = 5x + 7$ .

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