Solve 8/45*6x=25x+66

$$\frac{ 8 }{ 45 \times 6 } x=25x+66$$

Solve for x

$$x = -\frac{8910}{3371} = -2\frac{2168}{3371} \approx -2.643132602$$

Steps for Solving Linear Equation

Multiply 45 and 6 to get 270.

$$\frac{8}{270}x=25x+66$$

Reduce the fraction \frac{8}{270} to lowest terms by extracting and canceling out 2.

$$\frac{4}{135}x=25x+66$$

Subtract 25x from both sides.

$$\frac{4}{135}x-25x=66$$

Combine \frac{4}{135}x and -25x to get -\frac{3371}{135}x.

$$-\frac{3371}{135}x=66$$

Multiply both sides by -\frac{135}{3371}, the reciprocal of -\frac{3371}{135}.

$$x=66\left(-\frac{135}{3371}\right)$$

Express 66\left(-\frac{135}{3371}\right) as a single fraction.

$$x=\frac{66\left(-135\right)}{3371}$$

Multiply 66 and -135 to get -8910.

$$x=\frac{-8910}{3371}$$

Fraction \frac{-8910}{3371} can be rewritten as -\frac{8910}{3371} by extracting the negative sign.

$$x=-\frac{8910}{3371}$$