Question

solve the equation and check your solution.\\(9x - 4 = 2x + 3\\)\\(x = \boxed{}\\)\\(\boldsymbol{?}\\) need help?

Explanation:

Step1: Isolate x terms

Subtract $2x$ from both sides:
$9x - 2x - 4 = 2x - 2x + 3$
$7x - 4 = 3$

Step2: Isolate constant terms

Add 4 to both sides:
$7x - 4 + 4 = 3 + 4$
$7x = 7$

Step3: Solve for x

Divide by 7 on both sides:
$\frac{7x}{7} = \frac{7}{7}$
$x=1$

Step4: Verify the solution

Substitute $x=1$ into original equation:
Left side: $9(1)-4=5$
Right side: $2(1)+3=5$
Both sides are equal, so solution is valid.

Answer:

$x=1$