Question

Solve 14(6x-3)=99(22)

Answer 1

First you'd need to multiply 99 by 22.

14 ( 6x - 3 ) = 99 × 22

14 ( 6x - 3 ) = 2,178

Next, you'd divide both sides by 14.

14 ( 6x - 3 ) = 2,178

`\displaystyle(14(6x-3))/(14) = (2,178)/(14)`

`\displaystyle\ 6x - 3 = (2,178)/(14)`

Now simplify 2,178 over 14.

`\displaystyle\ 6x - 3 = (2,178)/(14)`

`\displaystyle\ 6x - 3 = (1,089)/(7)`

Now add 3 to both sides to get rid of -3.

`\displaystyle\ 6x - 3 = (1,089)/(7)`

`\displaystyle\ 6x - 3 + 3= (1,089)/(7) + 3`

`\displaystyle\ 6x = (1,110)/(7)`

Now divide both sides by 6 to get x alone.

`\displaystyle\ 6x = (1,110)/(7)`

`\displaystyle(6x)/(6) = ((1,110)/(7))/(6)`

`\displaystyle\ x = (185)/(7)`

Now we simplify.

`\displaystyle\ x = (185)/(7)`

`\displaystyle\ x = 26(3)/(7)`

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- Marlon Nunez

Answer 2

14(6x - 3) = 99(22)

Distribute 14 and 99:

84x - 42 = 2178

Add 42 to both side:

84x = 2220

Divide both sides by 84:

x = 26 3/7

Answer: x = 26 3/7