Question

Simplify the following: 9 – 2(x - 5) = x + 10
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Answer 1

`\huge\boxed{\sf x = 3}`

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

`\rule[225]{225}{2}`

Answer 2

x = 3

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!