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

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

Solve for x

$$x=\frac{8}{11}\approx 0.727272727$$

Steps for Solving Linear Equation

Combine 4x and -\frac{1}{2}x to get \frac{7}{2}x.

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

Subtract \frac{3}{4}x from both sides.

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

Combine \frac{7}{2}x and -\frac{3}{4}x to get \frac{11}{4}x.

$$\frac{11}{4}x=2$$

Multiply both sides by \frac{4}{11}, the reciprocal of \frac{11}{4}.

$$x=2\times \frac{4}{11}$$

Express 2\times \frac{4}{11} as a single fraction.

$$x=\frac{2\times 4}{11}$$

Multiply 2 and 4 to get 8.

$$x=\frac{8}{11}$$