Solve for a. {:[4a+5=2+3.25 a],[a=◻]:}

Isolate variable 'a': Isolate the variable 'a' on one side of the equation. To do this, we will subtract 3.25a from both sides of the equation 4a + 5 = 2 + 3.25a. 4a + 5 - 3.25a = 2 + 3.25a - 3.25a This simplifies to: 0.75a + 5 = 2Subtract 3.25a: Subtract 5 from both sides of the equation to isolate the term with 'a'. 0.75a + 5 - 5 = 2 - 5 This simplifies to: 0.75a = -3Simplify equation: Divide both sides of the equation by 0.75 to solve for 'a'. 0.75a / 0.75 = -3 / 0.75 This simplifies to: a = -4

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Solve for $a$ . $\newline$ $\begin{array}{l} 4 a+5=2+3.25 a \\ a=\square \end{array}$

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Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

a

\newline

\begin{array}{l} 4 a+5=2+3.25 a \\ a=\square \end{array}

Isolate variable 'a': Isolate the variable 'a' on one side of the equation. $\newline$ To do this, we will subtract $3.25a$ from both sides of the equation $4a + 5 = 2 + 3.25a$ . $\newline$ $4a + 5 - 3.25a = 2 + 3.25a - 3.25a$ $\newline$ This simplifies to: $\newline$ $0.75a + 5 = 2$
Subtract $3.25a$ : Subtract $5$ from both sides of the equation to isolate the term with ' $a$ '. $\newline$ $0.75a + 5 - 5 = 2 - 5$ $\newline$ This simplifies to: $\newline$ $0.75a = -3$
Simplify equation: Divide both sides of the equation by $0.75$ to solve for ' $a$ '. $\newline$ $\frac{0.75a}{0.75} = \frac{-3}{0.75}$ $\newline$ This simplifies to: $\newline$ $a = -4$