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3.2 a+3-0.8 a-3.3=1.2 a+1.5

$12$ ) $3.2 a+3-0.8 a-3.3=1.2 a+1.5$

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Add and subtract positive and negative decimals

Full solution

Q.

12

)

3.2 a+3-0.8 a-3.3=1.2 a+1.5

Combine like terms: Combine like terms on the left side of the equation. $\newline$ $3.2a - 0.8a + 3 - 3.3 = 1.2a + 1.5$ $\newline$ $2.4a - 0.3 = 1.2a + 1.5$
Subtract to isolate 'a': Subtract $1.2a$ from both sides to get the 'a' terms on one side. $\newline$ $2.4a - 1.2a - 0.3 = 1.2a - 1.2a + 1.5$ $\newline$ $1.2a - 0.3 = 1.5$
Add to isolate 'a': Add $0.3$ to both sides to isolate the 'a' term. $\newline$ $1.2a - 0.3 + 0.3 = 1.5 + 0.3$ $\newline$ $1.2a = 1.8$
Divide to solve for 'a': Divide both sides by $1.2$ to solve for 'a'. $\newline$ $\frac{1.2a}{1.2} = \frac{1.8}{1.2}$ $\newline$ $a = 1.5$

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