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djverab [1.8K]
3 years ago
9

2x - 3 + 7x + 1 = 16

Mathematics
2 answers:
Neko [114]3 years ago
6 0

Answer:

The answer to this problem is x = 2.

Step-by-step explanation:

To solve this problem, we need to get the variable x's alone on one side of the equation.  The first step is to combine like terms on the left side of the equation, which means combining the two constant terms and two variable terms. This is modeled below:

2x - 3 + 7x + 1 = 16

(2x + 7x) + (-3 + 1) = 16

9x - 2 = 16

Next, we should add 2 to both sides to get the variable term alone on the left side of the equation.

9x - 2 + 2 = 16 + 2

9x = 18

Then, we should divide both sides of the equation by 9 in order to get rid of the coefficient on the x.

9x/9 = 18/9

x = 2

Therefore, the answer is x = 2.

Hope this helps!

Alex73 [517]3 years ago
4 0

Step 1: Simplify both sides of the equation.

2x−3+7x+1=16

2x+−3+7x+1=16

(2x+7x)+(−3+1)=16(Combine Like Terms)

9x+−2=16

9x−2=16

Step 2: Add 2 to both sides.

9x−2+2=16+2

9x=18

Step 3: Divide both sides by 9.

9x /9   =  18 /9

Therefore, x=2

Answer:

x is 2.

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