Question

solve the equation for x.
\frac{1}{5}(x + 20) = \frac{2}{5}x - 30
a \\ x = 34
b \\ x = 130
c \\ x = 170
d \\ x = 250

Explanation:

Step1: Eliminate denominators

Multiply both sides by 5: \(5\times\frac{1}{5}(x + 20)=5\times(\frac{2}{5}x - 30)\)
Simplify: \(x + 20 = 2x - 150\)

Step2: Isolate x terms

Subtract \(x\) from both sides: \(20 = x - 150\)

Step3: Solve for x

Add 150 to both sides: \(x = 20 + 150 = 170\)

Answer:

C. \(x = 170\)