Solve 74*10^-3=49.5div(5*(x-1))

$$74 \times { 10 }^{ -3 } =49.5 \div (5 \times (x-1))$$

Solve for x

$$x = \frac{4987}{37} = 134\frac{29}{37} \approx 134.783783784$$

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 5\left(x-1\right).

$$74\times 10^{-3}\times 5\left(x-1\right)=49.5$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$74\times \frac{1}{1000}\times 5\left(x-1\right)=49.5$$

Multiply 74 and \frac{1}{1000} to get \frac{37}{500}.

$$\frac{37}{500}\times 5\left(x-1\right)=49.5$$

Multiply \frac{37}{500} and 5 to get \frac{37}{100}.

$$\frac{37}{100}\left(x-1\right)=49.5$$

Use the distributive property to multiply \frac{37}{100} by x-1.

$$\frac{37}{100}x-\frac{37}{100}=49.5$$

Add \frac{37}{100} to both sides.

$$\frac{37}{100}x=49.5+\frac{37}{100}$$

Add 49.5 and \frac{37}{100} to get \frac{4987}{100}.

$$\frac{37}{100}x=\frac{4987}{100}$$

Multiply both sides by \frac{100}{37}, the reciprocal of \frac{37}{100}.

$$x=\frac{4987}{100}\times \frac{100}{37}$$

Multiply \frac{4987}{100} and \frac{100}{37} to get \frac{4987}{37}.

$$x=\frac{4987}{37}$$