Solve 1/x+6*16+12*18/2*24*18=0.1925

$$\frac{ \frac{ 1 }{ x+6 \times 16+12 \cdot 18 } }{ 2 } \times 24 \times 18=0.1925$$

Solve for x

$$x = \frac{62376}{77} = 810\frac{6}{77} \approx 810.077922078$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$\frac{1}{x+6\times 16+12\times 18}\times 24\times 18=0.385$$

Do the multiplications.

$$\frac{1}{x+96+216}\times 24\times 18=0.385$$

Add 96 and 216 to get 312.

$$\frac{1}{x+312}\times 24\times 18=0.385$$

Multiply 24 and 18 to get 432.

$$\frac{1}{x+312}\times 432=0.385$$

Express \frac{1}{x+312}\times 432 as a single fraction.

$$\frac{432}{x+312}=0.385$$

Variable x cannot be equal to -312 since division by zero is not defined. Multiply both sides of the equation by x+312.

$$432=0.385\left(x+312\right)$$

Divide both sides by 0.385.

$$\frac{432}{0.385}=x+312$$

Expand \frac{432}{0.385} by multiplying both numerator and the denominator by 1000.

$$\frac{432000}{385}=x+312$$

Reduce the fraction \frac{432000}{385} to lowest terms by extracting and canceling out 5.

$$\frac{86400}{77}=x+312$$

Swap sides so that all variable terms are on the left hand side.

$$x+312=\frac{86400}{77}$$

Subtract 312 from both sides.

$$x=\frac{86400}{77}-312$$

Subtract 312 from \frac{86400}{77} to get \frac{62376}{77}.

$$x=\frac{62376}{77}$$