How to Solve an Equation

Feedback: Not quite! Add $4$ to both sides: $2x = 10$, then divide by $2$: $x = \frac{10}{2} = 5$.

Feedback: Not quite! First, subtract $2$ from both sides: $3x = 9$. Then, divide by $3$: $x = \frac{9}{3} = 3$.

Feedback: Not quite! First, expand the brackets: $2x + 8 = 18$. Then, subtract $8$ from both sides: $2x = 10$. Finally, divide by $2$: $x = \frac{10}{2} = 5$.

Feedback: Not quite! First, subtract $2x$ from both sides: $2x + 3 = 15$. Next, subtract $3$ from both sides: $2x = 12$. Finally, divide both sides by $2$: $x = \frac{12}{2} = 6$.

Feedback: Not quite! First, expand the left side: $3x - 6 = 2x + 4$. Then, subtract $2x$ from both sides: $x - 6 = 4$. Now, add $6$ to both sides: $x = 10$.

Feedback: Not quite! First, expand each term: $2x(x - 2) = 2x^2 - 4x$, and $3x(x + 4) = 3x^2 + 12x$. Now, combine the $x^2$ terms: $2x^2 + 3x^2 = 5x^2$, and the $x$ terms: $-4x + 12x = 8x$. $x^2$ and $x$ are not like terms. So, the simplified expression is $5x^2 + 8x$.