Question

solve the following equation 1Q. x–2/4 + x+1/3=x/2​

Answer 1

Answer:

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Answer 2

Let's solve your equation step by step.

$x-\frac{2}{4}+x+\frac{1}{3}=\frac{x}{2}$

Step 1: Simplify both sides of the equation.

$x-\frac{2}{4}+x+\frac{1}{3}=\frac{x}{2}$

$x+\frac{-1}{2}+x+\frac{1}{3}=\frac{1}{2}x$

(Combine Like Terms)

$(x+x)+(\frac{-1}{2}+\frac{1}{3})=\frac{1}{2}x$

$2x+\frac{-1}{6} =\frac{1}{2}x$

Step 2: Subtract $\frac{1}{2} x$ from both sides.

$2x+\frac{-1}{6}-\frac{1}{2}x =\frac{1}{2}x-\frac{1}{2}x$

$\frac{3}{2}x+\frac{-1}{6}=0$

Step 3: Add $\frac{1}{6}$ to both sides.

$\frac{3}{2}x+\frac{-1}{6}+\frac{1}{6}=0+\frac{1}{6}$

$\frac{3}{2}x=\frac{1}{6}$

Step 4: Multiply both sides by $\frac{2}{3}$.

$\frac{2}{3}*\frac{3}{2}x=\frac{2}{3}*\frac{1}{6}$

$x=\frac{1}{9}$

∴ $x=\frac{1}{9}$ in the equation ⇒ $x-\frac{2}{4}+x+\frac{1}{3}=\frac{x}{2}$