Solve 90/x=3/4*129/3+x

$$\frac{ 90 }{ x } = \frac{ 3 }{ 4 } \times \frac{ 129 }{ 3+x }$$

Solve for x

$$x=40$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -3,0 since division by zero is not defined. Multiply both sides of the equation by 4x\left(x+3\right), the least common multiple of x,4,3+x.

$$\left(4x+12\right)\times 90=\frac{3}{4}\times 4x\times 129$$

Use the distributive property to multiply 4x+12 by 90.

$$360x+1080=\frac{3}{4}\times 4x\times 129$$

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

$$360x+1080=3x\times 129$$

Multiply 3 and 129 to get 387.

$$360x+1080=387x$$

Subtract 387x from both sides.

$$360x+1080-387x=0$$

Combine 360x and -387x to get -27x.

$$-27x+1080=0$$

Subtract 1080 from both sides. Anything subtracted from zero gives its negation.

$$-27x=-1080$$

Divide both sides by -27.

$$x=\frac{-1080}{-27}$$

Divide -1080 by -27 to get 40.

$$x=40$$