Question

What is the solution of the equation $4x+25=7x+10$

• A. x = 4
• B. x = 5
• C. x = 8
• D. x = 10

Answer 1

The correct option is B x = 5

Given $4x+25=7x+10$
Now, subtracting 10 on both sides, we get
$4x+25-10=7x+10-10$
$4x+15=7x$
Now, subtracting $4x$ on both sides, we get
$4x-4x+15=7x-4x$
$15=3x$
Dividing both sides by 3, we get
$\frac{15}{3}=\frac{3x}{3}$
$x=5$

We can shift all variables to one side and constants to the other
$4x+25=7x+10$
$25-10=7x-4x$
$15=3x$
Now, shifting the 3 from RHS to LHS, we get
$\frac{15}{3}=x$
$x=5$