Solve x/35+x/2=4/3

$$\frac{ \frac{ x }{ 35+x } }{ 2 } = \frac{ 4 }{ 3 }$$

Solve for x

$$x=-56$$

Steps for Solving Linear Equation

Multiply both sides by 2.

$$\frac{x}{35+x}=\frac{4}{3}\times 2$$

Variable x cannot be equal to -35 since division by zero is not defined. Multiply both sides of the equation by 3\left(x+35\right), the least common multiple of 35+x,3.

$$3x=\frac{4}{3}\times 2\times 3\left(x+35\right)$$

Multiply \frac{4}{3} and 2 to get \frac{8}{3}.

$$3x=\frac{8}{3}\times 3\left(x+35\right)$$

Multiply \frac{8}{3} and 3 to get 8.

$$3x=8\left(x+35\right)$$

Use the distributive property to multiply 8 by x+35.

$$3x=8x+280$$

Subtract 8x from both sides.

$$3x-8x=280$$

Combine 3x and -8x to get -5x.

$$-5x=280$$

Divide both sides by -5.

$$x=\frac{280}{-5}$$

Divide 280 by -5 to get -56.

$$x=-56$$