Solve for a. 4/5a - 8 = a + 2 a = ____

Isolate terms: Isolate the variable terms on one side and the constant terms on the other side of the equation. 4/5a - 8 + 8 = a + 2 + 8 4/5a = a + 10Eliminate fraction: Multiply every term by 5 to eliminate the fraction. 5 * (4/5a) = 5 * (a + 10) 4a = 5a + 50Combine like terms: Move all terms containing 'a' to one side of the equation. 4a - 5a = 5a + 50 - 5a -1a = 50Solve for 'a': Divide both sides by -1 to solve for 'a'. -1a / -1 = 50 / -1 a = -50

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

a

\newline

\frac{4}{5}a - 8 = a + 2

\newline

a =

Isolate terms: Isolate the variable terms on one side and the constant terms on the other side of the equation. $\newline$ $\frac{4}{5}a - 8 + 8 = a + 2 + 8$ $\newline$ $\frac{4}{5}a = a + 10$
Eliminate fraction: Multiply every term by $5$ to eliminate the fraction. $\newline$ $5 \times \left(\frac{4}{5}a\right) = 5 \times (a + 10)$ $\newline$ $4a = 5a + 50$
Combine like terms: Move all terms containing $a$ to one side of the equation. $4a - 5a = 5a + 50 - 5a$ $-1a = 50$
Solve for 'a': Divide both sides by $-1$ to solve for 'a'. $\newline$ $-1a / -1 = 50 / -1$ $\newline$ $a = -50$