Solve m - (m - 2)/5 = 1 - (m - 2)/3 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

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

Solve for m

$m = \frac{19}{17} = 1\frac{2}{17} \approx 1.117647059$

Steps for Solving Linear Equation

Multiply both sides of the equation by $15$, the least common multiple of $5,3$.

$$15m-3\left(m-2\right)=15-5\left(m-2\right)$$

Use the distributive property to multiply $-3$ by $m-2$.

$$15m-3m+6=15-5\left(m-2\right)$$

Combine $15m$ and $-3m$ to get $12m$.

$$12m+6=15-5\left(m-2\right)$$

Use the distributive property to multiply $-5$ by $m-2$.

$$12m+6=15-5m+10$$

Add $15$ and $10$ to get $25$.

$$12m+6=25-5m$$

Add $5m$ to both sides.

$$12m+6+5m=25$$

Combine $12m$ and $5m$ to get $17m$.

$$17m+6=25$$

Subtract $6$ from both sides.

$$17m=25-6$$

Subtract $6$ from $25$ to get $19$.

$$17m=19$$

Divide both sides by $17$.

$$m=\frac{19}{17}$$