Question

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

Answer 1

-0.14

Explanation:

First eliminate the parenthesis:

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

24x + 30 = 3x + 24 + 3

Then group x terms on the left and constants on the right

24x - 3x = 24 + 3 - 30

21x = -3

Divide by 21 and simplify:

x = -3/21 = -1/7 ≈ -0.14

Answer 2

- 1/7

Explanation:

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

Expand the brackets

6 X 4x + 6 x 5 = 3 X x + 3 X 8 + 3

24x + 30 = 3x + 24 + 3

24x + 30 = 3x + 27

Subtract 30 from both sides to eliminate 30 on the left side

24x + 30 - 30 = 3x + 27 - 30

24x = 3x - 3

Subtract 3x from both sides to eliminate bring all variables to one side

24x - 3x = 3x - 3x - 3

21x = -3

Divide both sides by 21 to isolate x

21x/21 = -3/21

x = -1/7

x = - 1/7