Solve 0=-5/4(x-6/5)

$$0 = \frac { - 5 } { 4 } ( x - \frac { 6 } { 5 } )$$

Solve for x

$$x = \frac{6}{5} = 1\frac{1}{5} = 1.2$$

Steps for Solving Linear Equation

Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

$$0=-\frac{5}{4}\left(x-\frac{6}{5}\right)$$

Use the distributive property to multiply -\frac{5}{4} by x-\frac{6}{5}.

$$0=-\frac{5}{4}x-\frac{5}{4}\left(-\frac{6}{5}\right)$$

Multiply -\frac{5}{4} times -\frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$0=-\frac{5}{4}x+\frac{-5\left(-6\right)}{4\times 5}$$

Do the multiplications in the fraction \frac{-5\left(-6\right)}{4\times 5}.

$$0=-\frac{5}{4}x+\frac{30}{20}$$

Reduce the fraction \frac{30}{20} to lowest terms by extracting and canceling out 10.

$$0=-\frac{5}{4}x+\frac{3}{2}$$

Swap sides so that all variable terms are on the left hand side.

$$-\frac{5}{4}x+\frac{3}{2}=0$$

Subtract \frac{3}{2} from both sides. Anything subtracted from zero gives its negation.

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

Multiply both sides by -\frac{4}{5}, the reciprocal of -\frac{5}{4}.

$$x=-\frac{3}{2}\left(-\frac{4}{5}\right)$$

Multiply -\frac{3}{2} times -\frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-3\left(-4\right)}{2\times 5}$$

Do the multiplications in the fraction \frac{-3\left(-4\right)}{2\times 5}.

$$x=\frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{6}{5}$$