Solve 4/5 a - 3/10 a - 12 = 71

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Type your math problem... 4/5 a - 3/10 a - 12 = 71

Question

Solve the equation

a = 166

Evaluate

\frac{4}{5} a - \frac{3}{10} a - 12 = 71

Subtract the terms

More Steps

Evaluate

\frac{4}{5} a - \frac{3}{10} a

Collect like terms by calculating the sum or difference of their coefficients

(\frac{4}{5} - \frac{3}{10}) a

Subtract the numbers

More Steps

Evaluate

\frac{4}{5} - \frac{3}{10}

Reduce fractions to a common denominator

\frac{4 \times 2}{5 \times 2} - \frac{3}{10}

Multiply the numbers

\frac{4 \times 2}{10} - \frac{3}{10}

Write all numerators above the common denominator

\frac{4 \times 2 - 3}{10}

Multiply the numbers

\frac{8 - 3}{10}

Subtract the numbers

\frac{5}{10}

Cancel out the common factor 5

\frac{1}{2}

\frac{1}{2} a

\frac{1}{2} a - 12 = 71

Move the constant to the right-hand side and change its sign

\frac{1}{2} a = 71 + 12

Add the numbers

\frac{1}{2} a = 83

Multiply by the reciprocal

\frac{1}{2} a \times 2 = 83 \times 2

Multiply

a = 83 \times 2

Solution

a = 166

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