7x+4=2x+7
7x+4=2x+7
7x - 2x = 7 - 4
5x = 3
x = 3/5
To solve the equation 7x + 4 = 2x + 7, we need to isolate the variable x on one side of the equation.
Let's go through the steps:
Step 1: Start by simplifying both sides of the equation.
Combine like terms on each side:
7x + 4 = 2x + 7
Step 2: Move all terms containing x to one side of the equation. To do this, subtract 2x from both sides:
7x - 2x + 4 = 2x - 2x + 7
Simplifying:
5x + 4 = 7
Step 3: Move the constant term to the other side of the equation. To do this, subtract 4 from both sides:
5x + 4 - 4 = 7 - 4
Simplifying:
5x = 3
Step 4: Finally, solve for x by dividing both sides by the coefficient of x, which is 5:
(5x) / 5 = 3 / 5
Simplifying:
x = 3/5
So the solution to the equation 7x + 4 = 2x + 7 is x = 3/5.