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

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