Question

10 − 3(2a − 1) = 3a + 1

Answer 1

a = 4/3

Step-by-step explanation:

10 - 3( 2a - 1 ) = 3a + 1

• use the distributive property to multiply -3 by 2a -1

10 - 3 × 2a -3 × -1 = 3a + 1

10 - 6a + 3 = 3a + 1

• collect like terms

10 + 3 - 6a = 3a + 1

13 - 6a = 3a + 1

• Subtract 3a from both sides

13 - 6a - 3a = 3a - 3a + 1

13 - 9a = 1

• subtract 13 from both side

13 - 13 - 9a = 1 - 13

- 9a = - 12

• divide both side by -9

-9a / - 9 = - 12 / - 9

a = 4/3

Answer 2

4/3 =a

Explanation:

10 − 3(2a − 1) = 3a + 1

Distribute

10 -6a +3 = 3a+1

Combine like terms

13 -6a = 3a+1

Add 6a to each side

13-6a+6a = 3a+6a +1

13 = 9a+1

Subtract 1 from each side

13-1 = 9a+1-1

12 = 9a

Divide by 9

12/9 = 9a/9

4/3 =a