Question

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 side
$4x+25=7x+10$
$25-10=7x-4x$
$15=3x$
Now, shifting the 3 from RHS to LHS, we get
$\frac{15}{3}=x$
$x=5$