Evaluate 5(m-2)+m=6(m-4)

$5 (m - 2) + m = 6 (m - 4)$

Step 1

Simplify $5 (m - 2) + m$ .

Simplify each term.

Apply the distributive property.

$5 m + 5 \cdot - 2 + m = 6 (m - 4)$

Multiply $5$ by $- 2$ .

$5 m - 10 + m = 6 (m - 4)$

Add $5 m$ and $m$ .

$6 m - 10 = 6 (m - 4)$

Step 2

Simplify $6 (m - 4)$ .

Apply the distributive property.

$6 m - 10 = 6 m + 6 \cdot - 4$

Multiply $6$ by $- 4$ .

$6 m - 10 = 6 m - 24$

Step 3

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

Subtract $6 m$ from both sides of the equation.

$6 m - 10 - 6 m = - 24$

Combine the opposite terms in $6 m - 10 - 6 m$ .

Subtract $6 m$ from $6 m$ .

$0 - 10 = - 24$

Subtract $10$ from $0$ .

$- 10 = - 24$

Step 4

Since $- 10 \neq - 24$ , there are no solutions.

No solution