Solve 10left(x+4right)-9left(x-3right)-1=8left(x+3right)

$$10 \left( x+4 \right) -9 \left( x-3 \right) -1=8 \left( x+3 \right)$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by x+4.

$$10x+40-9\left(x-3\right)-1=8\left(x+3\right)$$

Use the distributive property to multiply -9 by x-3.

$$10x+40-9x+27-1=8\left(x+3\right)$$

Combine 10x and -9x to get x.

$$x+40+27-1=8\left(x+3\right)$$

Add 40 and 27 to get 67.

$$x+67-1=8\left(x+3\right)$$

Subtract 1 from 67 to get 66.

$$x+66=8\left(x+3\right)$$

Use the distributive property to multiply 8 by x+3.

$$x+66=8x+24$$

Subtract 8x from both sides.

$$x+66-8x=24$$

Combine x and -8x to get -7x.

$$-7x+66=24$$

Subtract 66 from both sides.

$$-7x=24-66$$

Subtract 66 from 24 to get -42.

$$-7x=-42$$

Divide both sides by -7.

$$x=\frac{-42}{-7}$$

Divide -42 by -7 to get 6.

$$x=6$$