Question

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

Answer 1

-7

6•4 = 24x
6• 5= 30

3•X=3x
3•8= 24

24+ 3=27

24x+ 30= 3x+27

Subtract 27 from both sides

24x + 3 =3x

3x- 24x= -21

-21/3= -7

Answer 2

x = -1/7

Decimal form = -0.14285714285

Explanation:

`6\left(4x+5\right)=3\left(x+8\right)+3`

`24x+30=3x+27`

`\mathrm{Subtract\:}30\mathrm{\:from\:both\:sides}`

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

`\mathrm{Simplify}`

`24x=3x-3`

`\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}`

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

`\mathrm{Simplify}`

`21x=-3`

`\mathrm{Divide\:both\:sides\:by\:}21`

`(21x)/(21)=(-3)/(21)`

`x=-(1)/(7)`

[RevyBreeze]