Solve 8(3-5x)-1=x+16

$$8 ( 3 - 5 x ) - 1 = x + 16$$

Solve for x

$$x=\frac{7}{41}\approx 0.170731707$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by 3-5x.

$$24-40x-1=x+16$$

Subtract 1 from 24 to get 23.

$$23-40x=x+16$$

Subtract x from both sides.

$$23-40x-x=16$$

Combine -40x and -x to get -41x.

$$23-41x=16$$

Subtract 23 from both sides.

$$-41x=16-23$$

Subtract 23 from 16 to get -7.

$$-41x=-7$$

Divide both sides by -41.

$$x=\frac{-7}{-41}$$

Fraction \frac{-7}{-41} can be simplified to \frac{7}{41} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{41}$$