Question

1. solve for x: \\(\frac{3}{5}(x + 2) = x - 4\\)
2. 8
3. 13
4. 15
5. 23

Explanation:

Step1: Eliminate fraction

Multiply both sides by 5: \(5\times\frac{3}{5}(x + 2)=5\times(x - 4)\)
Simplify: \(3(x + 2)=5x - 20\)

Step2: Distribute left side

Expand \(3(x + 2)\): \(3x + 6 = 5x - 20\)

Step3: Move x terms

Subtract \(3x\) from both sides: \(6 = 2x - 20\)

Step4: Solve for x

Add 20 to both sides: \(26 = 2x\)
Divide by 2: \(x = 13\)

Answer:

1. 13