Solve 7/2x-4=1/3x+6

$$\frac { 7 } { 2 } x - 4 = \frac { 1 } { 3 } x + 6$$

Solve for x

$$x = \frac{60}{19} = 3\frac{3}{19} \approx 3.157894737$$

Steps for Solving Linear Equation

Subtract \frac{1}{3}x from both sides.

$$\frac{7}{2}x-4-\frac{1}{3}x=6$$

Combine \frac{7}{2}x and -\frac{1}{3}x to get \frac{19}{6}x.

$$\frac{19}{6}x-4=6$$

Add 4 to both sides.

$$\frac{19}{6}x=6+4$$

Add 6 and 4 to get 10.

$$\frac{19}{6}x=10$$

Multiply both sides by \frac{6}{19}, the reciprocal of \frac{19}{6}.

$$x=10\times \frac{6}{19}$$

Express 10\times \frac{6}{19} as a single fraction.

$$x=\frac{10\times 6}{19}$$

Multiply 10 and 6 to get 60.

$$x=\frac{60}{19}$$