Solve 5(x-1)+6=13x-(x-8)

$$5 ( x - 1 ) + 6 = 13 x - ( x - 8 )$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-1.

$$5x-5+6=13x-\left(x-8\right)$$

Add -5 and 6 to get 1.

$$5x+1=13x-\left(x-8\right)$$

To find the opposite of x-8, find the opposite of each term.

$$5x+1=13x-x-\left(-8\right)$$

The opposite of -8 is 8.

$$5x+1=13x-x+8$$

Combine 13x and -x to get 12x.

$$5x+1=12x+8$$

Subtract 12x from both sides.

$$5x+1-12x=8$$

Combine 5x and -12x to get -7x.

$$-7x+1=8$$

Subtract 1 from both sides.

$$-7x=8-1$$

Subtract 1 from 8 to get 7.

$$-7x=7$$

Divide both sides by -7.

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

Divide 7 by -7 to get -1.

$$x=-1$$