Solve x+5x+5x/7+10x/3=24*75*4

$$x + 5 x + \frac { 5 x } { 7 } + \frac { 10 x } { 3 } = 24 \cdot 75 \times 4$$

Solve for x

$$x = \frac{151200}{211} = 716\frac{124}{211} \approx 716.587677725$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 7,3.

$$21x+105x+3\times 5x+7\times 10x=504\times 75\times 4$$

Combine 21x and 105x to get 126x.

$$126x+3\times 5x+7\times 10x=504\times 75\times 4$$

Multiply 3 and 5 to get 15.

$$126x+15x+7\times 10x=504\times 75\times 4$$

Combine 126x and 15x to get 141x.

$$141x+7\times 10x=504\times 75\times 4$$

Multiply 7 and 10 to get 70.

$$141x+70x=504\times 75\times 4$$

Combine 141x and 70x to get 211x.

$$211x=504\times 75\times 4$$

Multiply 504 and 75 to get 37800.

$$211x=37800\times 4$$

Multiply 37800 and 4 to get 151200.

$$211x=151200$$

Divide both sides by 211.

$$x=\frac{151200}{211}$$