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

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

Solve for x

$$x=-\frac{8}{17}\approx -0.470588235$$

Steps for Solving Linear Equation

Divide 6 by 2 to get 3.

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

Express 3\times \frac{3}{4} as a single fraction.

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

Multiply 3 and 3 to get 9.

$$\frac{9}{4}x-\frac{7}{2}x=3x+2$$

Combine \frac{9}{4}x and -\frac{7}{2}x to get -\frac{5}{4}x.

$$-\frac{5}{4}x=3x+2$$

Subtract 3x from both sides.

$$-\frac{5}{4}x-3x=2$$

Combine -\frac{5}{4}x and -3x to get -\frac{17}{4}x.

$$-\frac{17}{4}x=2$$

Multiply both sides by -\frac{4}{17}, the reciprocal of -\frac{17}{4}.

$$x=2\left(-\frac{4}{17}\right)$$

Express 2\left(-\frac{4}{17}\right) as a single fraction.

$$x=\frac{2\left(-4\right)}{17}$$

Multiply 2 and -4 to get -8.

$$x=\frac{-8}{17}$$

Fraction \frac{-8}{17} can be rewritten as -\frac{8}{17} by extracting the negative sign.

$$x=-\frac{8}{17}$$