EXPLANATION
M8. Solve for x: 2x + 3 = 7x - 4
a) x = 2/5
b) x = 3/5
c) x = 4/5
d) x = 7/5
ANSWER: d) x = 7/5
EXPLANATION:
To solve for x in the equation 2x + 3 = 7x - 4, we need to isolate the variable on one side of the equation. Here's the step-by-step solution:
2x + 3 = 7x - 4
First, let's simplify the equation by combining like terms. We'll subtract 2x from both sides:
2x - 2x + 3 = 7x - 2x - 4
This simplifies to:
3 = 5x - 4
Next, let's isolate the variable term by adding 4 to both sides:
3 + 4 = 5x - 4 + 4
This simplifies to:
7 = 5x
Finally, we'll divide both sides by 5 to solve for x:
7/5 = 5x/5
This simplifies to:
7/5 = x
Therefore, the solution to the equation 2x + 3 = 7x - 4 is:
a) x = 7/5
