Solve 12[(2a - 5)/3 - (a - 3)/4] - Socratic AI (ScanMath)

Pertanyaan

Simplify the expression

5 a - 11

Evaluate

12 (\frac{2 a - 5}{3} - \frac{a - 3}{4})

Subtract the terms

Langkah Lebih Banyak

Simplify

\frac{2 a - 5}{3} - \frac{a - 3}{4}

Reduce fractions to a common denominator

\frac{( 2 a - 5 ) \times 4}{3 \times 4} - \frac{( a - 3 ) \times 3}{4 \times 3}

Multiply the numbers

\frac{( 2 a - 5 ) \times 4}{12} - \frac{( a - 3 ) \times 3}{4 \times 3}

Multiply the numbers

\frac{( 2 a - 5 ) \times 4}{12} - \frac{( a - 3 ) \times 3}{12}

Write all numerators above the common denominator

\frac{( 2 a - 5 ) \times 4 - ( a - 3 ) \times 3}{12}

Multiply the terms

Langkah Lebih Banyak

Evaluate

(2 a - 5) \times 4

Apply the distributive property

2 a \times 4 - 5 \times 4

Multiply the numbers

8 a - 5 \times 4

Multiply the numbers

8 a - 20

\frac{8 a - 20 - ( a - 3 ) \times 3}{12}

Multiply the terms

Langkah Lebih Banyak

Evaluate

(a - 3) \times 3

Apply the distributive property

a \times 3 - 3 \times 3

Use the commutative property to reorder the terms

3 a - 3 \times 3

Multiply the numbers

3 a - 9

\frac{8 a - 20 - ( 3 a - 9 )}{12}

Subtract the terms

Langkah Lebih Banyak

Evaluate

8 a - 20 - (3 a - 9)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

8 a - 20 - 3 a + 9

Subtract the terms

5 a - 20 + 9

Add the numbers

5 a - 11

\frac{5 a - 11}{12}

12 \times \frac{5 a - 11}{12}

Cancel out the common factor 12

1 \times (5 a - 11)

Larutan

5 a - 11

Tampilkan Solusi

Find the roots

a = \frac{11}{5}

Alternative Form

a = 2.2

Evaluate

12 (\frac{2 a - 5}{3} - \frac{a - 3}{4})

To find the roots of the expression,set the expression equal to 0

12 (\frac{2 a - 5}{3} - \frac{a - 3}{4}) = 0

Subtract the terms

Langkah Lebih Banyak

Simplify

\frac{2 a - 5}{3} - \frac{a - 3}{4}

Reduce fractions to a common denominator

\frac{( 2 a - 5 ) \times 4}{3 \times 4} - \frac{( a - 3 ) \times 3}{4 \times 3}

Multiply the numbers

\frac{( 2 a - 5 ) \times 4}{12} - \frac{( a - 3 ) \times 3}{4 \times 3}

Multiply the numbers

\frac{( 2 a - 5 ) \times 4}{12} - \frac{( a - 3 ) \times 3}{12}

Write all numerators above the common denominator

\frac{( 2 a - 5 ) \times 4 - ( a - 3 ) \times 3}{12}

Multiply the terms

Langkah Lebih Banyak

Evaluate

(2 a - 5) \times 4

Apply the distributive property

2 a \times 4 - 5 \times 4

Multiply the numbers

8 a - 5 \times 4

Multiply the numbers

8 a - 20

\frac{8 a - 20 - ( a - 3 ) \times 3}{12}

Multiply the terms

Langkah Lebih Banyak

Evaluate

(a - 3) \times 3

Apply the distributive property

a \times 3 - 3 \times 3

Use the commutative property to reorder the terms

3 a - 3 \times 3

Multiply the numbers

3 a - 9

\frac{8 a - 20 - ( 3 a - 9 )}{12}

Subtract the terms

Langkah Lebih Banyak

Evaluate

8 a - 20 - (3 a - 9)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

8 a - 20 - 3 a + 9

Subtract the terms

5 a - 20 + 9

Add the numbers

5 a - 11

\frac{5 a - 11}{12}

12 \times \frac{5 a - 11}{12} = 0

Multiply the terms

Langkah Lebih Banyak

Multiply the terms

12 \times \frac{5 a - 11}{12}

Cancel out the common factor 12

1 \times (5 a - 11)

Multiply the terms

5 a - 11

5 a - 11 = 0

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

5 a = 0 + 11

Removing 0 doesn't change the value,so remove it from the expression

5 a = 11

Divide both sides

\frac{5 a}{5} = \frac{11}{5}

Larutan

a = \frac{11}{5}

Alternative Form

a = 2.2

Tampilkan Solusi

12[(2a 5)/3 (a 3)/4]

Simplify the expression

Find the roots