Solve 2x+9*-5/57=-1Rightarrow11/5

$$2 x + 9 \cdot \frac { - 5 } { 57 } = - 1 \Rightarrow \frac { 11 } { 5 }$$

Solve for x

$$x=-\frac{2}{19}\approx -0.105263158$$

Steps for Solving Linear Equation

Fraction \frac{-5}{57} can be rewritten as -\frac{5}{57} by extracting the negative sign.

$$2x+9\left(-\frac{5}{57}\right)=-1$$

Express 9\left(-\frac{5}{57}\right) as a single fraction.

$$2x+\frac{9\left(-5\right)}{57}=-1$$

Multiply 9 and -5 to get -45.

$$2x+\frac{-45}{57}=-1$$

Reduce the fraction \frac{-45}{57} to lowest terms by extracting and canceling out 3.

$$2x-\frac{15}{19}=-1$$

Add \frac{15}{19} to both sides.

$$2x=-1+\frac{15}{19}$$

Convert -1 to fraction -\frac{19}{19}.

$$2x=-\frac{19}{19}+\frac{15}{19}$$

Since -\frac{19}{19} and \frac{15}{19} have the same denominator, add them by adding their numerators.

$$2x=\frac{-19+15}{19}$$

Add -19 and 15 to get -4.

$$2x=-\frac{4}{19}$$

Divide both sides by 2.

$$x=\frac{-\frac{4}{19}}{2}$$

Express \frac{-\frac{4}{19}}{2} as a single fraction.

$$x=\frac{-4}{19\times 2}$$

Multiply 19 and 2 to get 38.

$$x=\frac{-4}{38}$$

Reduce the fraction \frac{-4}{38} to lowest terms by extracting and canceling out 2.

$$x=-\frac{2}{19}$$