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Solve for $d$ . $\newline$ $\frac{4}{5}d + 3 = -2 - \frac{1}{5}d$ $\newline$ $d =$ __

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Solve equations with variables on both sides: fractional coefficients

Full solution

Q. Solve for

d

.

\newline

\frac{4}{5}d + 3 = -2 - \frac{1}{5}d

\newline

d =

__

Combine terms with $d$ : Combine the terms with $d$ on both sides of the equation $\frac{4}{5}d + 3 = -2 - \frac{1}{5}d$ . $\frac{4}{5}d + \frac{1}{5}d = -2 - 3$
Add fractions on left: Add the fractions on the left side of the equation. $\newline$ $(\frac{4}{5} + \frac{1}{5})d = -2 - 3$
Simplify left side: Simplify the left side of the equation. $\frac{5}{5d} = -2 - 3$
Simplify right side: Simplify the right side of the equation. $\frac{5}{5d} = -5$
Final solution: Since $5/5$ is equal to $1$ , we can simplify the left side to just $d$ . $\newline$ $d = -5$

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