x+4/3+(1/2)x=3x+7/3

asked by guest
on Nov 28, 2024 at 7:37 am



You asked:

Solve the equation \(x + \frac{4}{3} + \frac{1}{2} \cdot x = 3 x + \frac{7}{3}\) for the variable \(x\).

MathBot Answer:

The solution is: \[x = - \frac{2}{3} = -0.\overline{6}\]


\[\begin{aligned}x + \frac{4}{3} + \frac{1}{2} \cdot x &= 3 x + \frac{7}{3}\\\frac{3 x}{2} + \frac{4}{3} &= 3 x + \frac{7}{3}\\- \frac{3 x}{2} &= 1\\x &= - \frac{2}{3}\end{aligned}\]