Resources for Equations with Brackets
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Questions
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Equations with Brackets Theory
![For equations with brackets, the brackets should be removed by expanding the term and then \\ collecting like terms.\\[3pt] Any equation that has variables on both sides of the equation should be moved to the same side and collected. \begin{multicols}{2} \textbf{Example 1}\\ Solve \(3(x+4)=15\).\\ \textbf{Example 1 solution}\\ \(\begin{aligned} 3(x+4) & =15 \\ 3 \times x+3 \times 4 & =15 \\ 3 x+12 & =15 \\ 3 x+12-12 & =15-12 \\ 3 x & =3 \\ \frac{3 x}{3} & =\frac{3}{3} \\ x & =1 \end{aligned}\) \columnbreak \textbf{Example 2}\\ Solve \(2(4-x)=5-7 x\)\\ \textbf{Example 2 solution}\\ \(\begin{aligned} 2(4-x) & =5-7 x \\ 2 \times 4-2 \times x & =5-7 x \\ 8-2 x & =5-7 x \\ 8-2 x+7 x & =5-7 x+7 x \\ 8+5 x & =5 \\ 5 x+8-8 & =5-8 \\ 5 x & =-3 \\ \frac{5 x}{5} & =-\frac{3}{5} \\ x & =-\frac{3}{5} \end{aligned}\) \end{multicols}](/media/11qemkgv/6910.png)
NSW Y8 Maths Equations Equations with Brackets
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Equations with Brackets - Video - Equations with Brackets - Example 1
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