Solve for m 0.5(7m-5)+3=8(2m+0.5)

$0.5 (7 m - 5) + 3 = 8 (2 m + 0.5)$

Simplify $0.5 (7 m - 5) + 3$ .

Simplify each term.

Apply the distributive property.

$0.5 (7 m) + 0.5 \cdot - 5 + 3 = 8 (2 m + 0.5)$

Multiply $7$ by $0.5$ .

$3.5 m + 0.5 \cdot - 5 + 3 = 8 (2 m + 0.5)$

Multiply $0.5$ by $- 5$ .

$3.5 m - 2.5 + 3 = 8 (2 m + 0.5)$

Add $- 2.5$ and $3$ .

$3.5 m + 0.5 = 8 (2 m + 0.5)$

Simplify $8 (2 m + 0.5)$ .

Apply the distributive property.

$3.5 m + 0.5 = 8 (2 m) + 8 \cdot 0.5$

Multiply.

Multiply $2$ by $8$ .

$3.5 m + 0.5 = 16 m + 8 \cdot 0.5$

Multiply $8$ by $0.5$ .

$3.5 m + 0.5 = 16 m + 4$

Move all terms containing $m$ to the left side of the equation.

Subtract $16 m$ from both sides of the equation.

$3.5 m + 0.5 - 16 m = 4$

Subtract $16 m$ from $3.5 m$ .

$- 12.5 m + 0.5 = 4$

Move all terms not containing $m$ to the right side of the equation.

Subtract $0.5$ from both sides of the equation.

$- 12.5 m = 4 - 0.5$

Subtract $0.5$ from $4$ .

$- 12.5 m = 3.5$

Divide each term in $- 12.5 m = 3.5$ by $- 12.5$ and simplify.

Divide each term in $- 12.5 m = 3.5$ by $- 12.5$ .

$\frac{- 12.5 m}{- 12.5} = \frac{3.5}{- 12.5}$

Simplify the left side.

Cancel the common factor of $- 12.5$ .

Cancel the common factor.

$\frac{- 12.5 m}{- 12.5} = \frac{3.5}{- 12.5}$

Divide $m$ by $1$ .

$m = \frac{3.5}{- 12.5}$

Simplify the right side.

Divide $3.5$ by $- 12.5$ .

$m = - 0.28$