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13 Answers
- Anonymous1 decade ago
X=16
- Anonymous1 decade ago
Here is how to solve it:
4(x-3)+7=23
Use distributive property (Multiply x by 4 and -3 by 4)
4x-12+7=23
Combine like terms (-12+7)
4x-5=23
Inverse operations (Add 5 to -5 and 23)
4x=28
Divide both sides by 4 (4/4 and 28/4)
x=7
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- Anonymous1 decade ago
Use the distributive property
4x + -12 + 7 = 23
4x + -5 + 23
add 5 to both sides
4x = 28
x = 7
- 1 decade ago
First step: Multiply everything inside the parenthesis by the 4 outside the parenthesis. 4 times x and four times negative three. This would give you 4x -12.
Second step: Plug that information into the rest of the equation. 4x - 12 +7 = 23
Third step: Combine like terms on the left side of the equation. 4x (-12 + 7) = 23 becomes 4x - 5 = 23
Fourth step: Isolate x on one side of the equation by adding 5 to BOTH sides of the equation. 4x - 5 + 5 = 23 + 5 becomes 4x = 28
Fifth step: Solve for x by dividing both sides of the equation by 4 (4x/4) = (28/4) becomes x = ? ( I can't do the WHOLE thing for ya... hehe)
Hope this helps. The main thing to remember is that you need to get your variable isolated on one side, with all non-variables on the other. Follow your normal steps (PEMDAS... Parenthesis, exponents, multiplication, division, addition, subtraction) in order, and you should be fine.
Good luck!
- 1 decade ago
Well firstly expand the brackets on the left hand side by multiplying 4 by (x-3) like so:
4x - 12 + 7 = 23
This obviously simplifies to 4x - 5 = 23
Now simply add 5 to both sides:
4x = 28
Now simply divide both sides by 4 to find x:
x = 7
There you go! Happy new year!
- 1 decade ago
see dear
4(x-3)+7=23
=> 4x-12+7=23 [as 4Xx=4x and 4X3=12]
=>4x-5=23
=>4x=23+5=28
=>x=28/4
Thus, x=7
Hope i helped u