Algebra Examples

$3 d + 4 = 2 + 3 d - \frac{1}{2}$

Step 1

Simplify $2 + 3 d - \frac{1}{2}$ .

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Step 1.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$3 d + 4 = 3 d + 2 \cdot \frac{2}{2} - \frac{1}{2}$

Step 1.2

Combine $2$ and $\frac{2}{2}$ .

$3 d + 4 = 3 d + \frac{2 \cdot 2}{2} - \frac{1}{2}$

Step 1.3

Combine the numerators over the common denominator.

$3 d + 4 = 3 d + \frac{2 \cdot 2 - 1}{2}$

Step 1.4

Simplify the numerator.

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Step 1.4.1

Multiply $2$ by $2$ .

$3 d + 4 = 3 d + \frac{4 - 1}{2}$

Step 1.4.2

Subtract $1$ from $4$ .

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

Step 2

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

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Step 2.1

Subtract $3 d$ from both sides of the equation.

$3 d + 4 - 3 d = \frac{3}{2}$

Step 2.2

Combine the opposite terms in $3 d + 4 - 3 d$ .

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Step 2.2.1

Subtract $3 d$ from $3 d$ .

$0 + 4 = \frac{3}{2}$

Step 2.2.2

Add $0$ and $4$ .

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

Step 3

Since $4 \neq \frac{3}{2}$ , there are no solutions.

No solution