Question

solve the equation and check your solution.
8x - 15 = 3x
x = \boxed{}

Explanation:

Step1: Subtract $3x$ from both sides

$8x - 3x - 15 = 3x - 3x$
$5x - 15 = 0$

Step2: Add 15 to both sides

$5x - 15 + 15 = 0 + 15$
$5x = 15$

Step3: Divide by 5 on both sides

$\frac{5x}{5} = \frac{15}{5}$
$x = 3$

Step4: Verify the solution

Substitute $x=3$ into original equation:
Left side: $8(3) - 15 = 24 - 15 = 9$
Right side: $3(3) = 9$
Both sides are equal, so the solution is valid.

Answer:

$3$