Question

5x(x + 3) = (x)(5x - 3) + 36 for x

Explanation:

Step1: Expand both sides

Left side: \(5x(x + 3)=5x^2+15x\)
Right side: \(x(5x - 3)+36 = 5x^2-3x + 36\)

Step2: Set up the equation

\(5x^2+15x=5x^2-3x + 36\)

Step3: Subtract \(5x^2\) from both sides

\(15x=-3x + 36\)

Step4: Add \(3x\) to both sides

\(15x + 3x=36\)
\(18x=36\)

Step5: Divide both sides by 18

\(x=\frac{36}{18}=2\)

Answer:

\(x = 2\)