Solve x=-5(5/2)(x-3)

$$x = - 5 ( 5 / 2 ) ( x - 3 )$$

Solve for x

$$x = \frac{25}{9} = 2\frac{7}{9} \approx 2.777777778$$

Steps for Solving Linear Equation

Express -5\times \frac{5}{2} as a single fraction.

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

Multiply -5 and 5 to get -25.

$$x=\frac{-25}{2}\left(x-3\right)$$

Fraction \frac{-25}{2} can be rewritten as -\frac{25}{2} by extracting the negative sign.

$$x=-\frac{25}{2}\left(x-3\right)$$

Use the distributive property to multiply -\frac{25}{2} by x-3.

$$x=-\frac{25}{2}x-\frac{25}{2}\left(-3\right)$$

Express -\frac{25}{2}\left(-3\right) as a single fraction.

$$x=-\frac{25}{2}x+\frac{-25\left(-3\right)}{2}$$

Multiply -25 and -3 to get 75.

$$x=-\frac{25}{2}x+\frac{75}{2}$$

Add \frac{25}{2}x to both sides.

$$x+\frac{25}{2}x=\frac{75}{2}$$

Combine x and \frac{25}{2}x to get \frac{27}{2}x.

$$\frac{27}{2}x=\frac{75}{2}$$

Multiply both sides by \frac{2}{27}, the reciprocal of \frac{27}{2}.

$$x=\frac{75}{2}\times \frac{2}{27}$$

Multiply \frac{75}{2} times \frac{2}{27} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{75\times 2}{2\times 27}$$

Cancel out 2 in both numerator and denominator.

$$x=\frac{75}{27}$$

Reduce the fraction \frac{75}{27} to lowest terms by extracting and canceling out 3.

$$x=\frac{25}{9}$$