Solve for m 50m+60=90m+45

$50 m + 60 = 90 m + 45$

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

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Subtract $90 m$ from both sides of the equation.

$50 m + 60 - 90 m = 45$

Subtract $90 m$ from $50 m$ .

$- 40 m + 60 = 45$

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

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Subtract $60$ from both sides of the equation.

$- 40 m = 45 - 60$

Subtract $60$ from $45$ .

$- 40 m = - 15$

Divide each term by $- 40$ and simplify.

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Divide each term in $- 40 m = - 15$ by $- 40$ .

$\frac{- 40 m}{- 40} = \frac{- 15}{- 40}$

Cancel the common factor of $- 40$ .

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Cancel the common factor.

$\frac{- 40 m}{- 40} = \frac{- 15}{- 40}$

Divide $m$ by $1$ .

$m = \frac{- 15}{- 40}$

Cancel the common factor of $- 15$ and $- 40$ .

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Factor $- 5$ out of $- 15$ .

$m = \frac{- 5 (3)}{- 40}$

Cancel the common factors.

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Factor $- 5$ out of $- 40$ .

$m = \frac{- 5 \cdot 3}{- 5 \cdot 8}$

Cancel the common factor.

$m = \frac{- 5 \cdot 3}{- 5 \cdot 8}$

Rewrite the expression.

$m = \frac{3}{8}$

The result can be shown in multiple forms.

Exact Form:

$m = \frac{3}{8}$

Decimal Form:

$m = 0.375$

Solve for m 50m+60=90m+45