Solve 0*78-1/2x=3/5x-0.5

$$0 \cdot 78 - \frac { 1 } { 2 } x = \frac { 3 } { 5 } x - 0.5$$

Solve for x

$$x=\frac{5}{11}\approx 0.454545455$$

Steps for Solving Linear Equation

Multiply 0 and 78 to get 0.

$$0-\frac{1}{2}x=\frac{3}{5}x-0.5$$

Anything plus zero gives itself.

$$-\frac{1}{2}x=\frac{3}{5}x-0.5$$

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

$$-\frac{1}{2}x-\frac{3}{5}x=-0.5$$

Combine -\frac{1}{2}x and -\frac{3}{5}x to get -\frac{11}{10}x.

$$-\frac{11}{10}x=-0.5$$

Multiply both sides by -\frac{10}{11}, the reciprocal of -\frac{11}{10}.

$$x=-0.5\left(-\frac{10}{11}\right)$$

Convert decimal number -0.5 to fraction -\frac{5}{10}. Reduce the fraction -\frac{5}{10} to lowest terms by extracting and canceling out 5.

$$x=-\frac{1}{2}\left(-\frac{10}{11}\right)$$

Multiply -\frac{1}{2} times -\frac{10}{11} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-\left(-10\right)}{2\times 11}$$

Do the multiplications in the fraction \frac{-\left(-10\right)}{2\times 11}.

$$x=\frac{10}{22}$$

Reduce the fraction \frac{10}{22} to lowest terms by extracting and canceling out 2.

$$x=\frac{5}{11}$$