Solving 3x - 5x + 2 = 0 with Simple Animations

Welcome to our lesson on combining like terms in algebra!Let's start with this equation: three x minus five x plus two equals zero.Before we combine terms, let's understand what like terms are.Let's break down each term in our equation.Three x and negative five x are like terms because they both have x to the first power.To combine like terms, we add their coefficients while keeping the variable part the same.Three plus negative five equals negative two, so three x plus negative five x equals negative two x.After combining like terms, our equation simplifies to negative two x plus two equals zero.Remember these key points about combining like terms: only combine terms with the same variable and exponent, add their coefficients, and keep the variable part unchanged.Now that we've combined like terms, we're ready for the next step in solving this equation.Now that we have negative two x equals negative two, we can solve for x by dividing both sides by negative two.When we divide both sides by negative two, the negative twos cancel out on the left, leaving us with just x. On the right, negative two divided by negative two equals positive one.To make sure our solution is correct, let's verify it by plugging x equals one back into the original equation.We start with the original equation: three x minus five x plus two equals zero.Substituting x equals one into each term.Now we can simplify the multiplication: three times one is three, and negative five times one is negative five.Combining like terms: three minus five equals negative two.Finally, negative two plus two equals zero, confirming our solution is correct!