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Start by multiplying both sides by - 32.
x = -27/20
To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality. In this case, the only variable term is already on the left-hand side of the equation, so we will start by multiplying both sides by - 32. We do it because multiplying by the reciprocal will eliminate the fraction.
LHS * ( - 3/2)=RHS* ( - 3/2)
Commutative Property of Multiplication
- a(- b)=a* b
a/b* b/a=1
Identity Property of Multiplication
Remove parentheses
Put minus sign in numerator
Multiply fractions
Multiply
LHS-3/5=RHS-3/5
Subtract term
a/b=a * 5/b * 5
a/b=a * 4/b * 4
Multiply
Subtract fractions
Subtract term
Put minus sign in front of fraction
Write fraction as a mixed number
The solution to the equation is x = - 2720, which can be also written as x=- 1 720. We can check our solution by substituting it into the original equation.
x= -27/20
a/b=a * 4/b * 4
Multiply
Put minus sign in numerator
Add fractions
Add terms
Multiply fractions
Multiply
a/b=.a /30./.b /30.
Calculate quotient
Since the left-hand side is equal to the right-hand side, our solution is correct.