Evaluate: (x+4)/2 =(x+9)/3

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Expression: $\frac{x+4}{2}=\frac{x+9}{3}$

Apply fraction cross multiply: if $\frac{a}{b}=\frac{c}{d}$ then $a\cdot d=b\cdot c$

$(x+4)\cdot 3=2(x+9)$

Expand $(x+4)\cdot 3:{\quad}3x+12$

$3x+12=2x+18$

Subtract $12$ from both sides

$3x+12-12=2x+18-12$

Simplify

$3x=2x+6$

Subtract $2x$ from both sides

$3x-2x=2x+6-2x$

Simplify

$x=6$

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