Algebra Equation?

use distribution:

10x + 30 - 4x + 8 = 7x + 35
then add/subtract like terms...
6x + 38 = 7x + 35
subtract 6x and 35 to get:
x = 3
FINAL ANSWER: x = 3

10x + 30 - 4x + 8 = 7x + 35
- x = - 3
x = 3

Apply distributive property:
10x + 30 - 4x + 8 = 7x + 35

Combine like-terms:
6x + 38 = 7x + 35
-x = - 3
x = 3

1. Use the distributive property. Distribute, and you come up with:

10x + 30 - 4x + 8 = 7x + 35

2. Move like terms. Move variables to one side and numbers to the other side.

10x - 4x - 7x = 35 - 30 - 8

3. Combine the like terms.

-x = -3

4. Divide both sides by -1 to make x positive.

-x/-1 = -3/-1

4. And your answer is...

x = 3


I hope this helped :)

Simplify : 10 ( x+3 ) - 4 ( x-2 ) = 7 ( x+5 )
10x + 30 - 4x + 8 = 7x + 35
6x + 38 = 7x + 35
6x - 7x + 38 - 38 = 7x - 7x +35 - 38
-x = -3
Therefore, x =3

Multiply out the brackets
10x+30-4x+8=7x+35
Simplify each side
6x+38=7x+35
Subtract 6x from each side
38=x+35
Subtract 35 from each side
3=x

distribute:
10x + 30 - 4x + 8 = 7x + 35
combine like terms:
6x + 38 = 7x + 35
-x = - 3
x = 3

To find x first you gotta solve each side of the equation:

1. Open up the brackets by multiplying the outside number into the numbers in the bracket. Notice there's a change in the sign in -4x PLUS 8. This is because the number outside the bracktet [-4] is a negative number. Whenever you multiply a negative to something else in this kind of situation,the signs changes.

10x + 30 - 4x + 8 = 7x + 35

2) Now do the necessary workings. Like normal addition and subtraction etc.

6x + 38 = 7x + 35

3) now you balance off both sides of the equal sign. Remember, you want one side to be only algebra and the other to be only numbers. So you do this:

6x + 38 -38= 7x + 35 -38

(you get rid of the numbers on <- side. The reason you minus of on > side too is so that they will be equal.

6x - 7x = 7x -3 - 7x
-x = -3
x = 3

There's your answer! Hope this helps! Good luck! :D

10(x+3) - 4(x-2) = 7(x+5)
= 10x+30 -(4x+8) = 7x+35
= 10x+30-4x-8 = 7x+35
= 6x+22 = 7x+35
= 6x-7x = 35-22
= -x = 13
x = -13

Verification:
10(-13+3) -4(-13-2) = 7(-13+5)
= -130+30+52-8 = -91+35
= -100+44 = -56

That's true...

1. Use the distributive property.

10x + 30 - 4x + 8 = 7x + 35

2. Isolate like terms. Move variables to one side and real numbers to the other.

10x - 4x - 7x = 35 - 30 - 8

3. Combine.

-x = -3

4. Divide both sides by -1 to make x positive.

-x/-1 = -3/-1

4. And your answer is...

x = 3

Hope I helped!