Solve 3m - 2(2m - 5) = 2(m + 3) - 8 | 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

$$3m-2(2m-5)=2(m+3)-8$$

Solve for m

$m=4$

Steps for Solving Linear Equation

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

$$3m-4m+10=2\left(m+3\right)-8$$

Combine $3m$ and $-4m$ to get $-m$.

$$-m+10=2\left(m+3\right)-8$$

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

$$-m+10=2m+6-8$$

Subtract $8$ from $6$ to get $-2$.

$$-m+10=2m-2$$

Subtract $2m$ from both sides.

$$-m+10-2m=-2$$

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

$$-3m+10=-2$$

Subtract $10$ from both sides.

$$-3m=-2-10$$

Subtract $10$ from $-2$ to get $-12$.

$$-3m=-12$$

Divide both sides by $-3$.

$$m=\frac{-12}{-3}$$

Divide $-12$ by $-3$ to get $4$.

$$m=4$$