Solve ( a ) 4m - (m - 1)/2 = 3m + 1/3 | 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

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

Solve for m

$m=-\frac{1}{3}\approx -0.333333333$

Steps for Solving Linear Equation

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

$$24m-3\left(m-1\right)=18m+2$$

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

$$24m-3m+3=18m+2$$

Combine $24m$ and $-3m$ to get $21m$.

$$21m+3=18m+2$$

Subtract $18m$ from both sides.

$$21m+3-18m=2$$

Combine $21m$ and $-18m$ to get $3m$.

$$3m+3=2$$

Subtract $3$ from both sides.

$$3m=2-3$$

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

$$3m=-1$$

Divide both sides by $3$.

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

Fraction $\frac{-1}{3}$ can be rewritten as $-\frac{1}{3}$ by extracting the negative sign.

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