Solve: 4x+3 = 2x + 9

Answers

Answer 1

Answer: 4x+3 = 2x + 9

4x-2x=9-3

2x=6

x=6/2

x=3

Answer 2

Answer: Move 2x to the left hand side of the equation by subtracting 2x from both sides.
4x+3−2x=9

Add 4x and −2x to get 2x.
x+3=9

Since 3 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 3 from both sides.
2x=−3+9

Add −3 and 9 to get 6.
2x=6

Divide each term in the equation by 2.
x=3

x is equal to 3

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x² + 3x: common factor is x
1x + 3: common factor is 1

From here I do not understand how you get to the answer which I do know is (x + 1) • (x + 3).

None of the explanations out there give detail to this step. I don’t understand how adding those two groups up (while pulling out common factors) will give you (x + 1) • (x + 3)!

I would hugely appreciate any help on this! Thank you :)