Solve for d 3/4d=12-d

$\frac{3}{4} d = 12 - d$

Step 1

Simplify $\frac{3}{4} d$ .

Rewrite.

$0 + 0 + \frac{3}{4} d = 12 - d$

Simplify by adding zeros.

$\frac{3}{4} d = 12 - d$

Combine $\frac{3}{4}$ and $d$ .

$\frac{3 d}{4} = 12 - d$

Step 2

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

Add $d$ to both sides of the equation.

$\frac{3 d}{4} + d = 12$

To write $d$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{3 d}{4} + d \cdot \frac{4}{4} = 12$

Combine $d$ and $\frac{4}{4}$ .

$\frac{3 d}{4} + \frac{d \cdot 4}{4} = 12$

Combine the numerators over the common denominator.

$\frac{3 d + d \cdot 4}{4} = 12$

Simplify the numerator.

Move $4$ to the left of $d$ .

$\frac{3 d + 4 \cdot d}{4} = 12$

Add $3 d$ and $4 d$ .

$\frac{7 d}{4} = 12$

Step 3

Multiply both sides of the equation by $\frac{4}{7}$ .

$\frac{4}{7} \cdot \frac{7 d}{4} = \frac{4}{7} \cdot 12$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{7} \cdot \frac{7 d}{4}$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{7} \cdot \frac{7 d}{4} = \frac{4}{7} \cdot 12$

Rewrite the expression.

$\frac{1}{7} (7 d) = \frac{4}{7} \cdot 12$

Cancel the common factor of $7$ .

Factor $7$ out of $7 d$ .

$\frac{1}{7} (7 (d)) = \frac{4}{7} \cdot 12$

Cancel the common factor.

$\frac{1}{7} (7 d) = \frac{4}{7} \cdot 12$

Rewrite the expression.

$d = \frac{4}{7} \cdot 12$

Simplify the right side.

Multiply $\frac{4}{7} \cdot 12$ .

Combine $\frac{4}{7}$ and $12$ .

$d = \frac{4 \cdot 12}{7}$

Multiply $4$ by $12$ .

$d = \frac{48}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$d = \frac{48}{7}$

Decimal Form:

$d = 6.\overline{857142}$

Mixed Number Form:

$d = 6 \frac{6}{7}$

Solve for d 3/4d=12-d

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