Solve 30-x*0.18/x-1=0.5

$$\frac { 30 - x \cdot 0.18 } { x - 1 } = 0.5$$

Solve for x

$$x = \frac{1525}{34} = 44\frac{29}{34} \approx 44.852941176$$

Steps for Solving Linear Equation

Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.

$$30-x\times 0.18=0.5\left(x-1\right)$$

Use the distributive property to multiply 0.5 by x-1.

$$30-x\times 0.18=0.5x-0.5$$

Subtract 0.5x from both sides.

$$30-x\times 0.18-0.5x=-0.5$$

Multiply -1 and 0.18 to get -0.18.

$$30-0.18x-0.5x=-0.5$$

Combine -0.18x and -0.5x to get -0.68x.

$$30-0.68x=-0.5$$

Subtract 30 from both sides.

$$-0.68x=-0.5-30$$

Subtract 30 from -0.5 to get -30.5.

$$-0.68x=-30.5$$

Divide both sides by -0.68.

$$x=\frac{-30.5}{-0.68}$$

Expand \frac{-30.5}{-0.68} by multiplying both numerator and the denominator by 100.

$$x=\frac{-3050}{-68}$$

Reduce the fraction \frac{-3050}{-68} to lowest terms by extracting and canceling out -2.

$$x=\frac{1525}{34}$$