3(x-2)+5x=10

Question

could u show me the steps and the answer 

Answer 1

     3(x - 2) + 5x = 10

First, distribute the 3 into each term inside the parentheses:

     (3·x - 3·2) + 5x = 10

     3x - 6 + 5x = 10

Combine the like terms on the left hand side of the equation:

     3x - 6 + 5x = 10 

     8x - 6 = 10

Add 6 to both sides of the equation to isolate the term that contains the unknown variable (x):

     8x  -  6  =  10

         + 6      + 6

  _________________

     8x - 6 + 6 = 10 + 6

                8x = 16

Divide both sides of the equation by 8 to solve for x:

     8x = 16

     8x/8 = 16/8

     1x = 2     ==>     x = 2

Answer 2

3(x-2)+5x=10

1.  Parentheses first! 

Distribute the 3 to, or multiply the 3 by, each term inside of the parentheses:

Multiply 3 times x (resulting in 3x), then multiply 3 times -2 (resulting in -6).  

Now, 3(x-2) has been simplified to 3x-6, creating a simpler equation to solve: 3x-6+5x=10.

2.  Next, combine like terms!

3x and 5x are both x's, or LIKE TERMS, which we can combine (3x+5x=8x) to further simplify the equation: 8x-6=10.

3. Now, isolate the variable (x)!

First, add 6 to both sides of the equation, eliminating the -6 on the left and resulting in 16 on the right: 8x-6+6=10+6 or 8x=16.

Then divide by 8 on both sides of the equation, eliminating the 8 on the left and resulting in 2 on the right: 8x divided by 8=16 divided by 8 or 1x=2.

Since 1x is x, x=2!

Answer 3

3(x-2) + 5x = 10

The first step is to recognize that 3(x-2) = 3*x - 3*2 = 3x - 6

So putting that back in to the equation it's

3x - 6 + 5x = 10

Now add like "x" terms on the left side and add 6 to both sides

8x - 6 + 6 = 10 + 6

8x = 16

Divide both sides by 8 (it's also the same as multiplying both sides by 1/8)

8x/8 = 16/8

Simplifying it gives you

x = 2