Solve 8x-5/4x=-2

$$8x- \frac{ 5 }{ 4 } x=-2$$

Solve for x

$$x=-\frac{8}{27}\approx -0.296296296$$

Steps for Solving Linear Equation

Combine 8x and -\frac{5}{4}x to get \frac{27}{4}x.

$$\frac{27}{4}x=-2$$

Multiply both sides by \frac{4}{27}, the reciprocal of \frac{27}{4}.

$$x=-2\times \frac{4}{27}$$

Express -2\times \frac{4}{27} as a single fraction.

$$x=\frac{-2\times 4}{27}$$

Multiply -2 and 4 to get -8.

$$x=\frac{-8}{27}$$

Fraction \frac{-8}{27} can be rewritten as -\frac{8}{27} by extracting the negative sign.

$$x=-\frac{8}{27}$$