Solve -5(-8x+5)-x=5(x-3)-9

$$- 5 ( - 8 x + 5 ) - x = 5 ( x - 3 ) - 9$$

Solve for x

$$x=\frac{1}{34}\approx 0.029411765$$

Steps for Solving Linear Equation

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

$$40x-25-x=5\left(x-3\right)-9$$

Combine 40x and -x to get 39x.

$$39x-25=5\left(x-3\right)-9$$

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

$$39x-25=5x-15-9$$

Subtract 9 from -15 to get -24.

$$39x-25=5x-24$$

Subtract 5x from both sides.

$$39x-25-5x=-24$$

Combine 39x and -5x to get 34x.

$$34x-25=-24$$

Add 25 to both sides.

$$34x=-24+25$$

Add -24 and 25 to get 1.

$$34x=1$$

Divide both sides by 34.

$$x=\frac{1}{34}$$