Identify Goal: Identify the goal of the problem. We need to solve for x in the equation 7x + 4 = 11. Isolate Term: Isolate the term containing x by subtracting 4 from both sides of the equation to maintain the equality. This gives us 7x + 4 - 4 = 11 - 4. Simplify Equation: Simplify both sides of the equation. The left side becomes 7x, and the right side becomes 7. So we have 7x = 7. Divide by 7: Divide both sides of the equation by 7 to solve for x. This gives us 7x / 7 = 7 / 7. Final Solution: Simplify both sides of the equation. The left side becomes x, and the right side becomes 1. So we have x = 1.

Grade 7

Add and subtract fractions

Full solution

7 x+4=11

Identify Goal: Identify the goal of the problem. We need to solve for $x$ in the equation $7x + 4 = 11$ .
Isolate Term: Isolate the term containing $x$ by subtracting $4$ from both sides of the equation to maintain the equality. This gives us $7x + 4 - 4 = 11 - 4$ .
Simplify Equation: Simplify both sides of the equation. The left side becomes $7x$ , and the right side becomes $7$ . So we have $7x = 7$ .
Divide by $7$ : Divide both sides of the equation by $7$ to solve for $x$ . This gives us $\frac{7x}{7} = \frac{7}{7}$ .
Final Solution: Simplify both sides of the equation. The left side becomes $x$ , and the right side becomes $1$ . So we have $x = 1$ .