How to solve m-m-1/2=1-m-2/3

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

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Question

$$m-m-1/2=1-m-2/3$$

Solve for m

$m=\frac{5}{6}\approx 0.833333333$

Steps for Solving Linear Equation

Combine $m$ and $-m$ to get $0$.

$$-\frac{1}{2}=1-m-\frac{2}{3}$$

Convert $1$ to fraction $\frac{3}{3}$.

$$-\frac{1}{2}=\frac{3}{3}-m-\frac{2}{3}$$

Since $\frac{3}{3}$ and $\frac{2}{3}$ have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{2}=\frac{3-2}{3}-m$$

Subtract $2$ from $3$ to get $1$.

$$-\frac{1}{2}=\frac{1}{3}-m$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{3}-m=-\frac{1}{2}$$

Subtract $\frac{1}{3}$ from both sides.

$$-m=-\frac{1}{2}-\frac{1}{3}$$

Least common multiple of $2$ and $3$ is $6$. Convert $-\frac{1}{2}$ and $\frac{1}{3}$ to fractions with denominator $6$.

$$-m=-\frac{3}{6}-\frac{2}{6}$$

Since $-\frac{3}{6}$ and $\frac{2}{6}$ have the same denominator, subtract them by subtracting their numerators.

$$-m=\frac{-3-2}{6}$$

Subtract $2$ from $-3$ to get $-5$.

$$-m=-\frac{5}{6}$$

Multiply both sides by $-1$.

$$m=\frac{5}{6}$$

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