Solve (75+18-3)15div290=(75+18)*18divx

$$(75+18-3)15 \div 290=(75+18) \times 18 \div x$$

Solve for x

$$x = \frac{1798}{5} = 359\frac{3}{5} = 359.6$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 290x, the least common multiple of 290,x.

$$x\left(75+18-3\right)\times 15=290\left(75+18\right)\times 18$$

Add 75 and 18 to get 93.

$$x\left(93-3\right)\times 15=290\left(75+18\right)\times 18$$

Subtract 3 from 93 to get 90.

$$x\times 90\times 15=290\left(75+18\right)\times 18$$

Multiply 90 and 15 to get 1350.

$$x\times 1350=290\left(75+18\right)\times 18$$

Add 75 and 18 to get 93.

$$x\times 1350=290\times 93\times 18$$

Multiply 290 and 93 to get 26970.

$$x\times 1350=26970\times 18$$

Multiply 26970 and 18 to get 485460.

$$x\times 1350=485460$$

Divide both sides by 1350.

$$x=\frac{485460}{1350}$$

Reduce the fraction \frac{485460}{1350} to lowest terms by extracting and canceling out 270.

$$x=\frac{1798}{5}$$