Solve for x 6x-11/2=2x-13/2

$6 x - \frac{11}{2} = 2 x - \frac{13}{2}$

Step 1

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

Subtract $2 x$ from both sides of the equation.

$6 x - \frac{11}{2} - 2 x = - \frac{13}{2}$

Subtract $2 x$ from $6 x$ .

$4 x - \frac{11}{2} = - \frac{13}{2}$

Step 2

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

Add $\frac{11}{2}$ to both sides of the equation.

$4 x = - \frac{13}{2} + \frac{11}{2}$

Combine the numerators over the common denominator.

$4 x = \frac{- 13 + 11}{2}$

Add $- 13$ and $11$ .

$4 x = \frac{- 2}{2}$

Divide $- 2$ by $2$ .

$4 x = - 1$

Step 3

Divide each term in $4 x = - 1$ by $4$ and simplify.

Divide each term in $4 x = - 1$ by $4$ .

$\frac{4 x}{4} = \frac{- 1}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{- 1}{4}$

Divide $x$ by $1$ .

$x = \frac{- 1}{4}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{1}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{4}$

Decimal Form:

$x = - 0.25$