Question

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

Answer 1

Answer:

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

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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