Solve -2x=-3-5(2div3)+76div57

$$-2x=-3-5(2 \div 3)+76 \div 57$$

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

Express 5\times \frac{2}{3} as a single fraction.

$$-2x=-3-\frac{5\times 2}{3}+\frac{76}{57}$$

Multiply 5 and 2 to get 10.

$$-2x=-3-\frac{10}{3}+\frac{76}{57}$$

Convert -3 to fraction -\frac{9}{3}.

$$-2x=-\frac{9}{3}-\frac{10}{3}+\frac{76}{57}$$

Since -\frac{9}{3} and \frac{10}{3} have the same denominator, subtract them by subtracting their numerators.

$$-2x=\frac{-9-10}{3}+\frac{76}{57}$$

Subtract 10 from -9 to get -19.

$$-2x=-\frac{19}{3}+\frac{76}{57}$$

Reduce the fraction \frac{76}{57} to lowest terms by extracting and canceling out 19.

$$-2x=-\frac{19}{3}+\frac{4}{3}$$

Since -\frac{19}{3} and \frac{4}{3} have the same denominator, add them by adding their numerators.

$$-2x=\frac{-19+4}{3}$$

Add -19 and 4 to get -15.

$$-2x=\frac{-15}{3}$$

Divide -15 by 3 to get -5.

$$-2x=-5$$

Divide both sides by -2.

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

Fraction \frac{-5}{-2} can be simplified to \frac{5}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{5}{2}$$