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Grade 8 Algebra: Variables on Both Sides

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Level 2

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1. Solve:
$2(x + 3) = x + 10$
2. Solve:
$4(y - 1) = 2y + 6$
3. Solve:
$3(n + 2) = 5(n - 2)$
4. Solve:
$-2(m - 4) = m - 7$
5. Solve:
$6(k + 1) = 2(k + 9)$
6. Solve:
$5(p - 2) = 3p + 4$

$\text{Variables}$ $\text{on}$ $\text{Both}$ $\text{Sides:}$ $\text{Free}$ $\text{8th}$ $\text{Grade}$ $\text{Math}$ $\text{PDF}$

$\text{A}$ $\text{linear}$ $\text{equation}$ $\text{states}$ $\text{that}$ $\text{two}$ $\text{expressions}$ $\text{are}$ $\text{equal.}$ $\text{Using}$ $\text{inverse}$ $\text{operations}$ $\text{on}$ $\text{both}$ $\text{sides}$ $\text{keeps}$ $\text{the}$ $\text{equation}$ $\text{balanced}$ $\text{and}$ $\text{helps}$ $\text{find}$ $\text{the}$ $\text{unknown}$ $\text{value,}$ $\text{from}$ $\text{one-step}$ $\text{equations}$ $\text{to}$ $\text{problems}$ $\text{with}$ $\text{variables}$ $\text{on}$ $\text{both}$ $\text{sides.}$

$\text{Variables}$ $\text{on}$ $\text{Both}$ $\text{Sides.}$ $\text{Level}$ $\text{2:}$ $\text{Distribute}$ $\text{first.}$