Solve for m 2(5m+3)-8m=4

$2 (5 m + 3) - 8 m = 4$

Simplify $2 (5 m + 3) - 8 m$ .

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Simplify each term.

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Apply the distributive property.

$2 (5 m) + 2 \cdot 3 - 8 m = 4$

Multiply $5$ by $2$ .

$10 m + 2 \cdot 3 - 8 m = 4$

Multiply $2$ by $3$ .

$10 m + 6 - 8 m = 4$

Subtract $8 m$ from $10 m$ .

$2 m + 6 = 4$

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

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Subtract $6$ from both sides of the equation.

$2 m = 4 - 6$

Subtract $6$ from $4$ .

$2 m = - 2$

Divide each term by $2$ and simplify.

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Divide each term in $2 m = - 2$ by $2$ .

$\frac{2 m}{2} = \frac{- 2}{2}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2 m}{2} = \frac{- 2}{2}$

Divide $m$ by $1$ .

$m = \frac{- 2}{2}$

Divide $- 2$ by $2$ .

$m = - 1$

Solve for m 2(5m+3)-8m=4

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