Solve 7/2x-5/2x=20/3x+10

$$\frac{ 7 }{ 2 } x- \frac{ 5 }{ 2 } x = \frac{ 20 }{ 3 } x+10$$

Solve for x

$$x = -\frac{30}{17} = -1\frac{13}{17} \approx -1.764705882$$

Steps for Solving Linear Equation

Combine \frac{7}{2}x and -\frac{5}{2}x to get x.

$$x=\frac{20}{3}x+10$$

Subtract \frac{20}{3}x from both sides.

$$x-\frac{20}{3}x=10$$

Combine x and -\frac{20}{3}x to get -\frac{17}{3}x.

$$-\frac{17}{3}x=10$$

Multiply both sides by -\frac{3}{17}, the reciprocal of -\frac{17}{3}.

$$x=10\left(-\frac{3}{17}\right)$$

Express 10\left(-\frac{3}{17}\right) as a single fraction.

$$x=\frac{10\left(-3\right)}{17}$$

Multiply 10 and -3 to get -30.

$$x=\frac{-30}{17}$$

Fraction \frac{-30}{17} can be rewritten as -\frac{30}{17} by extracting the negative sign.

$$x=-\frac{30}{17}$$