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Simplify the following: 9 – 2(x - 5) = x + 10

Sagot :

Answer:

x = 3

Step-by-step explanation:

Hello!

We can distribute the parenthesis and solve for x.

Solve

  • 9 - 2(x - 5) = x + 10
  • 9 - 2x + 10 = x + 10
  • 19 - 10 = 3x
  • 9 = 3x
  • x = 3

The value of x is 3.

We can plug it back in to check if it works.

Check

  • 9 - 2(x - 5) = x + 10
  • 9 - 2(3 - 5) = 3 + 10
  • 9 - 2(-2) = 3 + 10
  • 9 + 4 = 3 + 10
  • 13 = 13

Correct!

Answer:

[tex]\huge\boxed{\sf x = 3}[/tex]

Step-by-step explanation:

Given equation:

9 - 2(x - 5) = x + 10

Distribute

9 - 2x + 10 = x + 10

Subtract 10 to both sides

9 - 2x = x

Add 2x to both sides

9 = x + 2x

9 = 3x

Divide 3 to both sides

9/3 = 3x/3

3 = x

OR

x = 3

[tex]\rule[225]{225}{2}[/tex]