Pre-Algebra Examples

$\frac{1}{2} + 4 m = 3 m - \frac{5}{2}$

Step 1

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

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Step 1.1

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

$\frac{1}{2} + 4 m - 3 m = - \frac{5}{2}$

Step 1.2

Subtract $3 m$ from $4 m$ .

$\frac{1}{2} + m = - \frac{5}{2}$

Step 2

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

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Step 2.1

Subtract $\frac{1}{2}$ from both sides of the equation.

$m = - \frac{5}{2} - \frac{1}{2}$

Step 2.2

Combine the numerators over the common denominator.

$m = \frac{- 5 - 1}{2}$

Step 2.3

Subtract $1$ from $- 5$ .

$m = \frac{- 6}{2}$

Step 2.4

Divide $- 6$ by $2$ .

$m = - 3$