Solve 7x-200/19x+200=3/40

$$\frac { 7 x - 200 } { 19 x + 200 } = \frac { 3 } { 40 }$$

Solve for x

$$x = \frac{8600}{223} = 38\frac{126}{223} \approx 38.565022422$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{200}{19} since division by zero is not defined. Multiply both sides of the equation by 40\left(19x+200\right), the least common multiple of 19x+200,40.

$$40\left(7x-200\right)=3\left(19x+200\right)$$

Use the distributive property to multiply 40 by 7x-200.

$$280x-8000=3\left(19x+200\right)$$

Use the distributive property to multiply 3 by 19x+200.

$$280x-8000=57x+600$$

Subtract 57x from both sides.

$$280x-8000-57x=600$$

Combine 280x and -57x to get 223x.

$$223x-8000=600$$

Add 8000 to both sides.

$$223x=600+8000$$

Add 600 and 8000 to get 8600.

$$223x=8600$$

Divide both sides by 223.

$$x=\frac{8600}{223}$$