Solving Equations

Add 4 to both sides: $2x=10$, then divide by 2: $x=\frac{10}{2}=5$.

First, subtract 2 from both sides: $3x=9$. Then, divide by 3: $x=\frac{9}{3}=3$.

First, expand the brackets: $2x+8=18$. Then, subtract 8 from both sides: $2x=10$. Finally, divide by 2: $x=\frac{10}{2}=5$.

First, subtract $2x$ from both sides: $2x+3=15$. Next, subtract 3 from both sides: $2x=12$. Finally, divide both sides by 2: $x=\frac{12}{2}=6$.

First, expand the left side: $3x-6=2x+4$. Then, subtract $2x$ from both sides: $x-6=4$. Now, add 6 to both sides: $x=10$.

First, expand each term: $2x(x-2)=2x^2-4x$, and $3x(x+4)=3x^2+12x$. Now, combine like terms: $2x^2+3x^2=5x^2$, and $-4x+12x=8x$. So, the simplified expression is $5x^2+8x$.