4x +2(x-4)= 16 and also this one 8(x+3)+3(2x-5)=19+4x?

4x+2(x-4)=16
=>4x+2x-8=16 (open the bracket)
=>6x-8=16 (combining the x terms)
=>6x-8+8=16+8 (adding 8 to boths sides)
=>6x=24 (simplify)
=>x=4 (divide both sides by 6)

8(x+3)+3(2x-5)=19+4x
=>8x+24+6x-15=19+4x (open bracket)
=>14x+9=19+4x (combining terms)
=>14x+9-4x=19+4x-4x (minus 4x on both sides)
=>10x+9=19 (simplify)
=>10x+9-9=19-9 (minus 9 on both sides)
=>10x=10 (simplify)
=>x=1 (divide both sides by 10)

Hi, if you are trying to simplify the equation you would follow the follow steps: 4x/5 -2x/3 first then add the sum of that to x/2. So 1) Find a common denominator, in this case it is 15. You write a new fraction with a denominator of 15. Then divide 15 into both denominators 5 and 3, then multiply those number which are 3 and 5 into the numerators w/x so it would be 3 * 4x = 12x and 5 * 2x which is 10x. Then subtract the two numerators to get 2x/15 (the denominator stays constant). Now take the second portion, x/2, and add it to 2x/15. You do this by finding another common denominator which would be 30 then divide 30 into both 15 and 2 which is 2 and 15. Multiple both those numbers into the numerators 2x and x and you will get 4x + 15x / 30. So your answer is 19x/30.

Question 1
4x + 2x - 8 = 16
6x = 24
x = 4

Question 2
8x + 24 + 6x - 15 = 19 + 4x
14x + 9 = 19 + 4x
10x = 10
x = 1

You firstly need to expand the brackets, then get all the x-terms on one side and on to the solution; thus

4x + 2(x - 4) =16
4x + 2x - 8 = 16 as your multiplying everything in bracket by 2
6x - 8 = 16 by gathering the x-terms together
6x = 24 by adding 8 to both sides
x = 4 by dividing both sides by 6

8(x + 3) + 3(2x - 5) = 19 + 4x
8x + 24 + 6x - 15 = 19 + 4x by multiplying out the brackets
14x + 9 = 19 + 4x by simplifying the LHS
10x + 9 = 19 by subtracting 4x from both sides
10x = 10 by subtracting 9 from both sides
x = 1

Hope this helps - use similar methods with all equations of the type you've got here.

distribute the parentheses.

2*x and 2x -4

4x + 2x - 8= 16

6x -8 = 16

add 8 to both sides

6x= 24

divide by 6

x=4


2) same. distribute parentheses

8*x and 8x3 and 3*2x and 3 x -5

8x + 24 + 6x -15 = 19 + 4x

combine

14x + 9 = 19 + 4x

subtract 4x from both sides

10x + 9 = 19

subtract 9 from both sides

10x=10

x=1

Hope this helped!

1)
4x + 2(x - 4) = 16
4x + 2*x - 2*4 = 16
4x + 2x - 8 = 16
6x = 16 + 8
x = 24/6
x = 4

2)
8(x + 3) + 3(2x - 5) = 19 + 4x
8*x + 8*3 + 3*2x - 3*5 = 19 + 4x
8x + 24 + 6x - 15 = 19 + 4x
8x - 4x + 6x = 19 - 24 + 15
4x + 6x = -5 + 15
10x = 10
x = 10/10
x = 1

[1]
4x+2(x-4)=16
4x+2x-8=16
6x=16+8=24
x=24/6=4 ans

8(x+3)+3(2x-5)=19+4x
8x+24+6x-15=19+4x
14x+9=19+4x
14x-4x=19-9
10x=10
x=10/10=1 ans

4x + 2(x - 4) = 16

Use the distributive property
4x + 2x - 8 = 16

Add like terms
6x - 8 = 16

Add 8 to both sides
6x = 24

Divide by 6
x = 4
------------------------------------
8(x + 3) + 3(2x - 5) = 19 + 4x

Use the distributive property
8x + 24 + 6x - 15 = 19 + 4x

Add like terms
14x + 9 = 19 + 4x

Subtract 4x and 9 from both sides
10x = 10

Divide by 10 and the answer is
x = 1

I am assuming you are solving for x:

4x + 2(x - 4) = 16
4x + 2x - 8 = 16
6x = 24
x = 4

8(x + 3) + 3(2x - 5) = 19 + 4x
8x + 24 + 6x - 15 = 19 + 4x
10x = 10
x = 1