Solve for d 5d-4=4-d

$5 d - 4 = 4 - d$

Step 1

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

Add $d$ to both sides of the equation.

$5 d - 4 + d = 4$

Add $5 d$ and $d$ .

$6 d - 4 = 4$

Step 2

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

Add $4$ to both sides of the equation.

$6 d = 4 + 4$

Add $4$ and $4$ .

$6 d = 8$

Step 3

Divide each term in $6 d = 8$ by $6$ and simplify.

Divide each term in $6 d = 8$ by $6$ .

$\frac{6 d}{6} = \frac{8}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 d}{6} = \frac{8}{6}$

Divide $d$ by $1$ .

$d = \frac{8}{6}$

Simplify the right side.

Cancel the common factor of $8$ and $6$ .

Factor $2$ out of $8$ .

$d = \frac{2 (4)}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$d = \frac{2 \cdot 4}{2 \cdot 3}$

Cancel the common factor.

$d = \frac{2 \cdot 4}{2 \cdot 3}$

Rewrite the expression.

$d = \frac{4}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$d = \frac{4}{3}$

Decimal Form:

$d = 1.\overline{3}$

Mixed Number Form:

$d = 1 \frac{1}{3}$