Solve 3/4*-1/8quadx=15/16

$$\frac { 3 } { 4 } \times - \frac { 1 } { 8 } \quad x = \frac { 15 } { 16 }$$

Solve for x

$$x=-10$$

Steps for Solving Linear Equation

Multiply \frac{3}{4} times -\frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\left(-1\right)}{4\times 8}x=\frac{15}{16}$$

Do the multiplications in the fraction \frac{3\left(-1\right)}{4\times 8}.

$$\frac{-3}{32}x=\frac{15}{16}$$

Fraction \frac{-3}{32} can be rewritten as -\frac{3}{32} by extracting the negative sign.

$$-\frac{3}{32}x=\frac{15}{16}$$

Multiply both sides by -\frac{32}{3}, the reciprocal of -\frac{3}{32}.

$$x=\frac{15}{16}\left(-\frac{32}{3}\right)$$

Multiply \frac{15}{16} times -\frac{32}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{15\left(-32\right)}{16\times 3}$$

Do the multiplications in the fraction \frac{15\left(-32\right)}{16\times 3}.

$$x=\frac{-480}{48}$$

Divide -480 by 48 to get -10.

$$x=-10$$