Solve 2 iit - m - (m - 1)/2 = 4 - (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

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

Solve for m

$m=5$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $2,3$.

$$6m-3\left(m-1\right)=24-2\left(m-2\right)$$

Use the distributive property to multiply $-3$ by $m-1$.

$$6m-3m+3=24-2\left(m-2\right)$$

Combine $6m$ and $-3m$ to get $3m$.

$$3m+3=24-2\left(m-2\right)$$

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

$$3m+3=24-2m+4$$

Add $24$ and $4$ to get $28$.

$$3m+3=28-2m$$

Add $2m$ to both sides.

$$3m+3+2m=28$$

Combine $3m$ and $2m$ to get $5m$.

$$5m+3=28$$

Subtract $3$ from both sides.

$$5m=28-3$$

Subtract $3$ from $28$ to get $25$.

$$5m=25$$

Divide both sides by $5$.

$$m=\frac{25}{5}$$

Divide $25$ by $5$ to get $5$.

$$m=5$$