Question

solve the equation: 0.06x + 0.14(x - 5) = 0.10(23) desmos
○14
○13
○15
○12

Explanation:

Step1: Expand the left - hand side

We use the distributive property \(a(b + c)=ab+ac\) to expand \(0.14(x - 5)\). So \(0.14(x - 5)=0.14x-0.14\times5 = 0.14x - 0.7\).
The original equation \(0.06x + 0.14(x - 5)=0.10(23)\) becomes \(0.06x+0.14x - 0.7=2.3\) (since \(0.10\times23 = 2.3\)).

Step2: Combine like terms on the left - hand side

Combine \(0.06x\) and \(0.14x\). \(0.06x+0.14x=(0.06 + 0.14)x=0.2x\).
The equation is now \(0.2x-0.7 = 2.3\).

Step3: Isolate the variable term

Add \(0.7\) to both sides of the equation.
\(0.2x-0.7 + 0.7=2.3 + 0.7\)
\(0.2x=3\)

Step4: Solve for x

Divide both sides of the equation by \(0.2\).
\(x=\frac{3}{0.2}=15\)

Answer:

15