Question

Solve the equation and check your solution. 8x - 16 = 0

Solution

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8x16=0Add 16 to each side8x16+16=168x=16Divide both sides by 88x8=168x=2Check the solution8x16=08(2)16=01616=00=0(Solution checks)\begin{gathered} 8x - 16 = 0 \\ \textcolor{#4257b2}{{\text{Add 16 to each side}}} \\ 8x - 16 + 16 = 16 \\ 8x = 16 \\ \textcolor{#4257b2}{{\text{Divide both sides by 8}}} \\ \frac{{8x}}{8} = \frac{{16}}{8} \\ x = 2 \\ \textcolor{#4257b2}{\underline{{\text{Check the solution}}}} \\ \underbrace {8x - 16 = 0}_ \Downarrow \\ 8\left( 2 \right) - 16 = 0 \\ 16 - 16 = 0 \\ 0 = 0 \\ \left( {{\text{Solution checks}}} \right) \\ \end{gathered}

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