Solve 285.8x+(5-x)890=3695

$$285.8 x + ( 5 - x ) 890 = 3695$$

Solve for x

$$x = \frac{3775}{3021} = 1\frac{754}{3021} \approx 1.24958623$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5-x by 890.

$$285.8x+4450-890x=3695$$

Combine 285.8x and -890x to get -604.2x.

$$-604.2x+4450=3695$$

Subtract 4450 from both sides.

$$-604.2x=3695-4450$$

Subtract 4450 from 3695 to get -755.

$$-604.2x=-755$$

Divide both sides by -604.2.

$$x=\frac{-755}{-604.2}$$

Expand \frac{-755}{-604.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-7550}{-6042}$$

Reduce the fraction \frac{-7550}{-6042} to lowest terms by extracting and canceling out -2.

$$x=\frac{3775}{3021}$$