28 solve algebraically for x: 0.05(x - 3) = 0.35x - 7.5

28 solve algebraically for x: 0.05(x - 3) = 0.35x - 7.5

28 solve algebraically for x: 0.05(x - 3) = 0.35x - 7.5

Answer

Explanation:

Step1: Expand the left - hand side

$0.05(x - 3)=0.05x-0.15$ So the equation becomes $0.05x - 0.15=0.35x - 7.5$.

Step2: Move the terms with $x$ to one side

Subtract $0.05x$ from both sides: $0.05x-0.05x - 0.15=0.35x-0.05x - 7.5$ $- 0.15 = 0.3x-7.5$.

Step3: Move the constant terms to one side

Add $7.5$ to both sides: $-0.15 + 7.5=0.3x-7.5 + 7.5$ $7.35 = 0.3x$.

Step4: Solve for $x$

Divide both sides by $0.3$: $x=\frac{7.35}{0.3}=24.5$

Answer:

$24.5$