Solve (4)17-3(x-5)=2-13x

$$( 4 ) 17 - 3 ( x - 5 ) = 2 - 13 x$$

Solve for x

$$x = -\frac{81}{10} = -8\frac{1}{10} = -8.1$$

Steps for Solving Linear Equation

Multiply 4 and 17 to get 68.

$$68-3\left(x-5\right)=2-13x$$

Use the distributive property to multiply -3 by x-5.

$$68-3x+15=2-13x$$

Add 68 and 15 to get 83.

$$83-3x=2-13x$$

Add 13x to both sides.

$$83-3x+13x=2$$

Combine -3x and 13x to get 10x.

$$83+10x=2$$

Subtract 83 from both sides.

$$10x=2-83$$

Subtract 83 from 2 to get -81.

$$10x=-81$$

Divide both sides by 10.

$$x=\frac{-81}{10}$$

Fraction \frac{-81}{10} can be rewritten as -\frac{81}{10} by extracting the negative sign.

$$x=-\frac{81}{10}$$