Solve 5/3-6x=-7/2x+1

$$\frac{ 5 }{ 3 } -6x = - \frac{ 7 }{ 2 } x+1$$

Solve for x

$$x=\frac{4}{15}\approx 0.266666667$$

Steps for Solving Linear Equation

Add \frac{7}{2}x to both sides.

$$\frac{5}{3}-6x+\frac{7}{2}x=1$$

Combine -6x and \frac{7}{2}x to get -\frac{5}{2}x.

$$\frac{5}{3}-\frac{5}{2}x=1$$

Subtract \frac{5}{3} from both sides.

$$-\frac{5}{2}x=1-\frac{5}{3}$$

Convert 1 to fraction \frac{3}{3}.

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

Since \frac{3}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 5 from 3 to get -2.

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

Multiply both sides by -\frac{2}{5}, the reciprocal of -\frac{5}{2}.

$$x=-\frac{2}{3}\left(-\frac{2}{5}\right)$$

Multiply -\frac{2}{3} times -\frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-2\left(-2\right)}{3\times 5}$$

Do the multiplications in the fraction \frac{-2\left(-2\right)}{3\times 5}.

$$x=\frac{4}{15}$$