Solve m - (m + 1)/2 = (m - 2)/5 + 2 | 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

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

Solve for m

$m=7$

Steps for Solving Linear Equation

Multiply both sides of the equation by $10$, the least common multiple of $2,5$.

$$10m-5\left(m+1\right)=2\left(m-2\right)+20$$

Use the distributive property to multiply $-5$ by $m+1$.

$$10m-5m-5=2\left(m-2\right)+20$$

Combine $10m$ and $-5m$ to get $5m$.

$$5m-5=2\left(m-2\right)+20$$

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

$$5m-5=2m-4+20$$

Add $-4$ and $20$ to get $16$.

$$5m-5=2m+16$$

Subtract $2m$ from both sides.

$$5m-5-2m=16$$

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

$$3m-5=16$$

Add $5$ to both sides.

$$3m=16+5$$

Add $16$ and $5$ to get $21$.

$$3m=21$$

Divide both sides by $3$.

$$m=\frac{21}{3}$$

Divide $21$ by $3$ to get $7$.

$$m=7$$