Solve 2.17(3.58-4.2x)=18.9-(x+4)

$$2.17 ( 3.58 - 4.2 x ) = 18.9 - ( x + 4 )$$

Solve for x

$$x=-\frac{35657}{40570}\approx -0.878900666$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2.17 by 3.58-4.2x.

$$7.7686-9.114x=18.9-\left(x+4\right)$$

To find the opposite of x+4, find the opposite of each term.

$$7.7686-9.114x=18.9-x-4$$

Subtract 4 from 18.9 to get 14.9.

$$7.7686-9.114x=14.9-x$$

Add x to both sides.

$$7.7686-9.114x+x=14.9$$

Combine -9.114x and x to get -8.114x.

$$7.7686-8.114x=14.9$$

Subtract 7.7686 from both sides.

$$-8.114x=14.9-7.7686$$

Subtract 7.7686 from 14.9 to get 7.1314.

$$-8.114x=7.1314$$

Divide both sides by -8.114.

$$x=\frac{7.1314}{-8.114}$$

Expand \frac{7.1314}{-8.114} by multiplying both numerator and the denominator by 10000.

$$x=\frac{71314}{-81140}$$

Reduce the fraction \frac{71314}{-81140} to lowest terms by extracting and canceling out 2.

$$x=-\frac{35657}{40570}$$