Solve for a. 3(2/3a - 1/3) = 5a + 3 a = ____

Distribute Terms: Distribute 3 to each term inside the parentheses. 3(2/3a - 1/3) = 5a + 3 = 3*(2/3a) - 3*(1/3) = 2a - 1 Rewrite Equation: Rewrite the equation after distribution. 2a - 1 = 5a + 3 Isolate Variable: Isolate the variable 'a' on one side. 2a - 5a = 3 + 1 -3a = 4 Solve for 'a': Solve for 'a'. a = 4 / -3 a = -4/3

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Solve for $a$ . $\newline$ $3\left(\frac{2}{3}a - \frac{1}{3}\right) = 5a + 3$ $\newline$ a = ____

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

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Q. Solve for

a

\newline

3\left(\frac{2}{3}a - \frac{1}{3}\right) = 5a + 3

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a = ____

Distribute Terms: Distribute $3$ to each term inside the parentheses. $\newline$ $3(\frac{2}{3}a - \frac{1}{3}) = 5a + 3$ $\newline$ $= 3*(\frac{2}{3}a) - 3*(\frac{1}{3})$ $\newline$ $= 2a - 1$
Rewrite Equation: Rewrite the equation after distribution. $2a - 1 = 5a + 3$
Isolate Variable: Isolate the variable $a$ on one side. $2a - 5a = 3 + 1$ $-3a = 4$
Solve for 'a': Solve for 'a'. $\newline$ $a = \frac{4}{-3}$ $\newline$ $a = -\frac{4}{3}$