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Solve for x. 3(2x - 3) + 3 = 24

User Calcazar
by
7.0k points

2 Answers

3 votes
Hey :)

x= 5

First use distributive property to multiply 3 with 2x and 3 with -3
6x-9 + 3 = 24

Find like terms, which are -9 and 3
6x-6 = 24

Take the -6 to the other side, now it’s positive
6x = 24+6

Now add them together
6x= 30

Now take 6 to the other side, it becomes division
x = 30/6
x = 5

Hope this helps!
User John Meagher
by
5.9k points
2 votes

Answer:


\huge{ \bold{ \boxed{ \tt{x = 5}}}}

Explanation:


\text{3(2x - 3) + 3 = 24}


\text{Step \: 1 \: : \: Distribute \: 3 \: through \: the \: parentheses\: }


\text{ ➳\: 3 * \: 2x - 3 * 3 + 3 = 24}


\text{➳ \: 6x - 9 + 3 = 24}


\text{Step \: 2 : \: Subtract \: 3 \: from \: 9}


\text{➳ \: 6x - 6 = 24}


\text{Step \: 3 : Add \:6 \: on \: both \: sides}


\text{➳ \: 6x - 6 + 6 = 24 + 6}


\text{➳ \: 6x = \: 30}


\text{Step \: 4 : Divide \: both \: sides \: by \: 6}


\text{➳ 6x / \: 6 \: = \: 30/ \: 6}


\text{➳ \: x = 5}


\text{The \: value \: of \: x \: is \: 5}


\text{Hope \: I \: helped!}


\text{Best \: regards!}

~
\text{TheAnimeGirl}

User Honghao Z
by
6.1k points