Answer:
x = [tex]\frac{a(a + b)}{a-b}[/tex]
Step-by-step explanation:
Step 1: Write out formula
a(x - b) = a² + bx
Step 2: Distribute
ax - ab = a² + bx
Step 3: Add ab to both sides
ax = a² + bx + ab
Step 4: Subtract bx on both sides
ax - bx = a² + ab
Step 5: Factor
x(a - b) = a² + ab
Step 6: Divide (a - b) on both sides
x = [tex]\frac{a^{2} + ab}{a-b}[/tex]
Step 7: Factor
x = [tex]\frac{a(a + b)}{a-b}[/tex]
And we have our final answer!
