Solve 5x+3/2=6-2/3x

$$5 x + \frac { 3 } { 2 } = 6 - \frac { 2 } { 3 } x$$

Solve for x

$$x=\frac{27}{34}\approx 0.794117647$$

Steps for Solving Linear Equation

Add \frac{2}{3}x to both sides.

$$5x+\frac{3}{2}+\frac{2}{3}x=6$$

Combine 5x and \frac{2}{3}x to get \frac{17}{3}x.

$$\frac{17}{3}x+\frac{3}{2}=6$$

Subtract \frac{3}{2} from both sides.

$$\frac{17}{3}x=6-\frac{3}{2}$$

Convert 6 to fraction \frac{12}{2}.

$$\frac{17}{3}x=\frac{12}{2}-\frac{3}{2}$$

Since \frac{12}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17}{3}x=\frac{12-3}{2}$$

Subtract 3 from 12 to get 9.

$$\frac{17}{3}x=\frac{9}{2}$$

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

$$x=\frac{9}{2}\times \frac{3}{17}$$

Multiply \frac{9}{2} times \frac{3}{17} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{9\times 3}{2\times 17}$$

Do the multiplications in the fraction \frac{9\times 3}{2\times 17}.

$$x=\frac{27}{34}$$