Question

3 identify the solution to the equation. 9(0.2x + 1.6) = 10(0.4x - 0.3) + 2

Explanation:

Step1: Expand both sides

Expand the left side: \(9(0.2x + 1.6)=9\times0.2x + 9\times1.6 = 1.8x+14.4\)
Expand the right side: \(10(0.4x - 0.3)+2=10\times0.4x-10\times0.3 + 2=4x-3 + 2=4x-1\)

Step2: Rearrange the equation

Subtract \(1.8x\) from both sides: \(14.4=4x - 1.8x-1\)
Simplify: \(14.4 = 2.2x-1\)

Step3: Solve for x

Add 1 to both sides: \(14.4 + 1=2.2x\)
\(15.4 = 2.2x\)
Divide both sides by 2.2: \(x=\frac{15.4}{2.2}=7\)

Answer:

\(x = 7\)