Question

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

Answer 1

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

Answer 2

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

$\displaystyle\frac{14(6x-3)}{14} = \frac{2,178}{14}$

$\displaystyle\ 6x - 3 = \frac{2,178}{14}$

Now simplify 2,178 over 14.

$\displaystyle\ 6x - 3 = \frac{2,178}{14}$

$\displaystyle\ 6x - 3 = \frac{1,089}{7}$

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

$\displaystyle\ 6x - 3 = \frac{1,089}{7}$

$\displaystyle\ 6x - 3 + 3= \frac{1,089}{7} + 3$

$\displaystyle\ 6x = \frac{1,110}{7}$

Now divide both sides by 6 to get x alone.

$\displaystyle\ 6x = \frac{1,110}{7}$

$\displaystyle\frac{6x}{6} = \frac{\frac{1,110}{7}}{6}$

$\displaystyle\ x = \frac{185}{7}$

Now we simplify.

$\displaystyle\ x = \frac{185}{7}$

$\displaystyle\ x = 26\frac{3}{7}$

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- Marlon Nunez