Solve (0.10*x*(35-100))=0.050*4180*(35-23))

$$(0.10 \times x \times (35-100))=0.050 \times 4180 \times (35-23))$$

Solve for x

$$x = -\frac{5016}{13} = -385\frac{11}{13} \approx -385.846153846$$

Steps for Solving Linear Equation

Subtract 100 from 35 to get -65.

$$0.1x\left(-65\right)=0.05\times 4180\left(35-23\right)$$

Multiply 0.1 and -65 to get -6.5.

$$-6.5x=0.05\times 4180\left(35-23\right)$$

Multiply 0.05 and 4180 to get 209.

$$-6.5x=209\left(35-23\right)$$

Subtract 23 from 35 to get 12.

$$-6.5x=209\times 12$$

Multiply 209 and 12 to get 2508.

$$-6.5x=2508$$

Divide both sides by -6.5.

$$x=\frac{2508}{-6.5}$$

Expand \frac{2508}{-6.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{25080}{-65}$$

Reduce the fraction \frac{25080}{-65} to lowest terms by extracting and canceling out 5.

$$x=-\frac{5016}{13}$$