Solve 3m + 2(m + 2) = 20 - (2m - 5) | 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

$$3m+2(m+2)=20-(2m-5)$$

Solve for m

$m=3$

Steps for Solving Linear Equation

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

$$3m+2m+4=20-\left(2m-5\right)$$

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

$$5m+4=20-\left(2m-5\right)$$

To find the opposite of $2m-5$, find the opposite of each term.

$$5m+4=20-2m-\left(-5\right)$$

The opposite of $-5$ is $5$.

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

Add $20$ and $5$ to get $25$.

$$5m+4=25-2m$$

Add $2m$ to both sides.

$$5m+4+2m=25$$

Combine $5m$ and $2m$ to get $7m$.

$$7m+4=25$$

Subtract $4$ from both sides.

$$7m=25-4$$

Subtract $4$ from $25$ to get $21$.

$$7m=21$$

Divide both sides by $7$.

$$m=\frac{21}{7}$$

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

$$m=3$$