Question

How do you solve 12(x+3)=4(2x+9)+4x

Answer 1

Answer: x=1

Explanation:

• Substitute, so 12x+36 = 8x+36+4x

• Add 8x and 4x

• 12x+36 = 12x+36

Right away you can tell that they will equal each other if you plug in 1, then check your answer by plugging 1 into x

Answer 2

the solution is all real numbers

Explanation:

12(x+3)=4(2x+9)+4x

distribute

12*x + 12*3 = 4*2x + 4*9 + 4x

simplify

12x+36 = 8x +36 + 4x

combine like terms

12x + 36 = 12x + 36

subtract 12x from each side

12x -12x +36 = 12x -12x + 36

36 =36

this is always true

it does not matter what value I put in for x in the original equation, it will always be true

the solution is all real numbers