Question

m/5=3(2m+1) verbal expression

Answer 1

Answer:

m = -15/29

Step-by-step explanation:

1) Distribute

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

2) Subtract 6m from both sides of the equation

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

3) Simplify

a. Find common denominator

$\frac{m}{5} +\frac{5(-6)m}{5} =6m+3-6m$

b. Combine fractions with common denominator

$\frac{m+5(-6)m}{5} =6m+3-6m$

c. Multiply the numbers

$\frac{m-30m}{5} =6m+3-6m$

d. Combine like terms

$\frac{-29m}{5} =6m+3-6m$

e. Combine like terms

$\frac{-29m}{5} =3$

4) Multiply all terms by the same value to eliminate fraction denominators

$5 *\frac{-29m}{5} =5*3$

5) Cancel multiplied terms that are in the denominator

$-29m=5*3$

6) Multiply the numbers

$-29m=15$

7) Divide both sides of the equation by the same term

$\frac{-29m}{29} =\frac{15}{-29}$

8) Simplify

a. Cancel terms that are in both the numerator and denominator

$m=\frac{15}{-29}$

b. Divide the numbers

$m=-\frac{15}{29}$