Question

Solve for the following equation for x: 6(4x+5)=3(x+8)+3. Round to the nearest hundredth.

Answer 1

6(4x + 5) = 3(x + 8) + 3

Distribute

24x + 30 = 3x + 24 + 3

Move like terms to be on the same side

24x - 3x = 24 + 3 - 30

21x = 27 - 30

21x = -3

x = -3/21

x = -1/7

x = -0.142857

If its rounded to the nearest hundredth, your answer is:

-0.14

Answer 2

6(4x + 5) = 3(x + 8) + 3 Multiply 6 into (4x + 5)

24x + 30 = 3(x + 8) + 3 Multiply 3 into (x + 8)

24x + 30 = 3x + 24 + 3 Combine like terms

24x + 30 = 3x + 27 Subtract 3x on both sides

21x + 30 = 27 Subtract 30 on both sides

21x = -3 Divide 21 on both sides

x = -0.14