Question

Solve for x. 9(x + 1) = 25 + x x = 2 x = 3 x = 4 x = 5.

Answer 1

`\boxed{\boxed{\sf x=2}}`

Step-by-step explanation:

`\sf 9(x + 1) = 25 + x`

*Apply Distributive property*

`\leadsto\sf 9x+9=25+x`

Subtract 9 from both sides:

`\leadsto\sf 9x+9-9=25+x-9`

`\leadsto\sf 9x=x+16`

Subtract x from both sides:

`\leadsto\sf 9x-x=x+16-x`

`\leadsto\sf 8x=16`

Divide both sides by 8:

`\leadsto\sf \cfrac{8x}{8}=\cfrac{16}{8}`

`\leadsto\sf x=2`

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