A(2x+3) = 9x + 15 + x

Answer 1

x=-3/2 or A = 5

A(2x+3) = 9x +15 +x

2Ax +3A = 10x +15

2Ax-10x = 15-3A

x(2A-10) = 15-3A

x = (15-3A)/(2A-10)

x = 3(5-A)/2(A-5)

x = -(3/2)(A-5)/(A-5)

x = -3/2

check the answer

replace x with -3/2 in the original equation

A(2x+3) = 9x +15 +x

A(2(-3/2)+3) = 9(-3/2) +15 -3/2

A(-3+3) = -27/2 +15 -3/2

A(0) = -30/2 +15

0 = -15 +15

0 = 0

Or

A(2x+3) = 9x +15 +x = 10x+15 = 5(2x+3)

A(2x+3) = 5(2x+3) divide both sides by 2x+3

A=5

If A=5, x = any number

if x=-3/2, A = any number