Answer
q = 25
Work Step by Step
3(q-5) = 2(q+5)
Use the distributive property:
3(q) - 3(5) = 2(q) + 2(5)
Simplify:
3q - 15 = 2q + 10
To get the variable (q) on one side of the equation, subtract 2q from both sides of the equation.
3q - 15 - 2q = 2q + 10 - 2q
Simplify to get:
1q - 15 = 10
Add 15 to both sides of the equation.
1q - 15 + 15 = 10 + 15
1q = 25
Divide both sides by 1:
$\frac{1q}{1}$ = $\frac{25}{1}$
q = 25
Check:
To check whether 25 is the correct answer, replace q with 25 in the original equation and solve.
3(q-5) = 2(q+5)
3(25-5) = 2(25+5)
3(20) = 2(30)
60 = 60
