Solve 64x=4(49/330)+5(660(49/330)/7)

$$64 x = 4 ( \frac { 49 } { 330 } ) + 5 ( \frac { 660 ( \frac { 49 } { 330 } ) } { 7 } )$$

Solve for x

$$x = \frac{182}{165} = 1\frac{17}{165} \approx 1.103030303$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2310, the least common multiple of 330,7.

$$147840x=9240\times \frac{49}{330}+1650\times 660\times \frac{49}{330}$$

Express 9240\times \frac{49}{330} as a single fraction.

$$147840x=\frac{9240\times 49}{330}+1650\times 660\times \frac{49}{330}$$

Multiply 9240 and 49 to get 452760.

$$147840x=\frac{452760}{330}+1650\times 660\times \frac{49}{330}$$

Divide 452760 by 330 to get 1372.

$$147840x=1372+1650\times 660\times \frac{49}{330}$$

Multiply 1650 and 660 to get 1089000.

$$147840x=1372+1089000\times \frac{49}{330}$$

Express 1089000\times \frac{49}{330} as a single fraction.

$$147840x=1372+\frac{1089000\times 49}{330}$$

Multiply 1089000 and 49 to get 53361000.

$$147840x=1372+\frac{53361000}{330}$$

Divide 53361000 by 330 to get 161700.

$$147840x=1372+161700$$

Add 1372 and 161700 to get 163072.

$$147840x=163072$$

Divide both sides by 147840.

$$x=\frac{163072}{147840}$$

Reduce the fraction \frac{163072}{147840} to lowest terms by extracting and canceling out 896.

$$x=\frac{182}{165}$$