Solve by Factoring 3(m+1.5)=1.5(2m+3)

$3 (m + 1.5) = 1.5 (2 m + 3)$

Step 1

Subtract $1.5 (2 m + 3)$ from both sides of the equation.

$3 (m + 1.5) - 1.5 (2 m + 3) = 0$

Step 2

Simplify $3 (m + 1.5) - 1.5 (2 m + 3)$ .

Simplify each term.

Apply the distributive property.

$3 m + 3 \cdot 1.5 - 1.5 (2 m + 3) = 0$

Multiply $3$ by $1.5$ .

$3 m + 4.5 - 1.5 (2 m + 3) = 0$

Apply the distributive property.

$3 m + 4.5 - 1.5 (2 m) - 1.5 \cdot 3 = 0$

Multiply $2$ by $- 1.5$ .

$3 m + 4.5 - 3 m - 1.5 \cdot 3 = 0$

Multiply $- 1.5$ by $3$ .

$3 m + 4.5 - 3 m - 4.5 = 0$

Combine the opposite terms in $3 m + 4.5 - 3 m - 4.5$ .

Subtract $4.5$ from $4.5$ .

$3 m - 3 m + 0 = 0$

Add $3 m - 3 m$ and $0$ .

$3 m - 3 m = 0$

Subtract $3 m$ from $3 m$ .

$0 m = 0$

Multiply $0$ by $m$ .

$0 = 0$

Step 3

Since $0 = 0$ , the equation will always be true.

Always true