Solve 3x+-5(17/18)=-3

$$3 x + - 5 ( 17 / 18 ) = - 3$$

Solve for x

$$x=\frac{31}{54}\approx 0.574074074$$

Steps for Solving Linear Equation

Express -5\times \frac{17}{18} as a single fraction.

$$3x+\frac{-5\times 17}{18}=-3$$

Multiply -5 and 17 to get -85.

$$3x+\frac{-85}{18}=-3$$

Fraction \frac{-85}{18} can be rewritten as -\frac{85}{18} by extracting the negative sign.

$$3x-\frac{85}{18}=-3$$

Add \frac{85}{18} to both sides.

$$3x=-3+\frac{85}{18}$$

Convert -3 to fraction -\frac{54}{18}.

$$3x=-\frac{54}{18}+\frac{85}{18}$$

Since -\frac{54}{18} and \frac{85}{18} have the same denominator, add them by adding their numerators.

$$3x=\frac{-54+85}{18}$$

Add -54 and 85 to get 31.

$$3x=\frac{31}{18}$$

Divide both sides by 3.

$$x=\frac{\frac{31}{18}}{3}$$

Express \frac{\frac{31}{18}}{3} as a single fraction.

$$x=\frac{31}{18\times 3}$$

Multiply 18 and 3 to get 54.

$$x=\frac{31}{54}$$