Solve for q. 8q - 7 = 7q - 10 q = ____

Write Equation: First, let's write down the equation we need to solve: 8q - 7 = 7q - 10. Our goal is to isolate q on one side of the equation.Move Terms: Now, we will move all the terms containing q to one side and the constant terms to the other side. To do this, we subtract 7q from both sides of the equation: 8q - 7 - 7q = 7q - 10 - 7q.Combine Like Terms: Simplifying both sides of the equation by combining like terms gives us: 8q - 7q - 7 = -10. This simplifies to q - 7 = -10.Isolate q: Next, we need to isolate q by adding 7 to both sides of the equation: q - 7 + 7 = -10 + 7.Final Solution: After performing the addition, we get q = -3. This is the value of q that solves the equation.

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Solve for $q$ . $\newline$ $8q - 7 = 7q - 10$

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Math Problems

Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

q

\newline

8q - 7 = 7q - 10

Write Equation: First, let's write down the equation we need to solve: $8q - 7 = 7q - 10$ . Our goal is to isolate $q$ on one side of the equation.
Move Terms: Now, we will move all the terms containing $q$ to one side and the constant terms to the other side. To do this, we subtract $7q$ from both sides of the equation: $8q - 7 - 7q = 7q - 10 - 7q$ .
Combine Like Terms: Simplifying both sides of the equation by combining like terms gives us: $8q - 7q - 7 = -10$ . This simplifies to $q - 7 = -10$ .
Isolate q: Next, we need to isolate q by adding $7$ to both sides of the equation: $q - 7 + 7 = -10 + 7$ .
Final Solution: After performing the addition, we get $q = -3$ . This is the value of $q$ that solves the equation.