Question

for this problem. solve the equation on the left side. then, on the right side give a reason to justify each step you made on the left, [number each step]

Answer 1

we have

3(5x+1)=13x+5

step 1

Apply distributive property left side

3(5x+1)=3(5x)+3(1)

step 2

multiply each term by 3

3(5x)+3(1)=15x+3

step 3

we have

15x+3=13x+5

subtract 13x both sides

15x-13x+3=13x+5-13x

simplify

2x+3=5

step 4

subtract 3 both sides

2x+3-3=5-3

simplify

2x=2

step 5

Divide by 2 both sides

2x/2=2/2

simplify

x=1

therefore

is proved x=1