Question

Solve the following equation = 3 5 ( + 10)​

Answer 1

Let's solve your equation step-by-step.

$\bf{m \: = \: \frac{3}{5} \: \big(m + 10 \big)}$

Step 1: Simplify both sides of equation.

$\bf{m \: = \: \frac{3}{5} \: \big(m + 10 \big)}$

$\bf{m \: = \: \big( \frac{3}{5} \big)(m) \: + \: \big( \frac{3}{5} \big)(10)}$

(Distribute)

$\bf{m \: = \: \frac{3}{5}m \: + \: 6}$

Step 2: Subtract $\bf\frac{3}{5}m$ from both sides.

$\bf{m \: - \: \blue{ \frac{3}{5}m } \: = \: \frac{3}{5}m \: + \: 6 \: - \blue{ \frac{3}{5}m}}$

$\bf{ \frac{2}{5}m \: = \: 6}$

Step 3 : Multiply both sides by $\bf\frac{5}{2}$.

$\bf{\big( \blue{\frac{5}{2}} \big) \: * \: \big( \frac{2}{5}m \big) \: = \big(\blue{\frac{5}{2}} \big) \: * \: (6)}$

$\bf{m \: = \: 15}$

$\huge{ \boxed{ \bf \red{Answer}}}$

$\bf{m \: = \: 15}$