Solve for x x-1=5x+3x-8

$x - 1 = 5 x + 3 x - 8$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$5 x + 3 x - 8 = x - 1$

Step 2

Add $5 x$ and $3 x$ .

$8 x - 8 = x - 1$

Step 3

Move all terms containing $x$ to the left side of the equation.

Subtract $x$ from both sides of the equation.

$8 x - 8 - x = - 1$

Subtract $x$ from $8 x$ .

$7 x - 8 = - 1$

Step 4

Move all terms not containing $x$ to the right side of the equation.

Add $8$ to both sides of the equation.

$7 x = - 1 + 8$

Add $- 1$ and $8$ .

$7 x = 7$

Step 5

Divide each term in $7 x = 7$ by $7$ and simplify.

Divide each term in $7 x = 7$ by $7$ .

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

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $7$ by $7$ .

$x = 1$