Solve (((x+0,52)*(-2))+8/5):(-3)=92

$$( ( ( x + 0,52 ) \cdot ( - 2 ) ) + \frac { 8 } { 5 } ) : ( - 3 ) = 92$$

Solve for x

$$x=138,28$$

Steps for Solving Linear Equation

Multiply both sides by -3.

$$\left(x+0,52\right)\left(-2\right)+\frac{8}{5}=92\left(-3\right)$$

Use the distributive property to multiply x+0,52 by -2.

$$-2x-1,04+\frac{8}{5}=92\left(-3\right)$$

Convert decimal number -1,04 to fraction -\frac{104}{100}. Reduce the fraction -\frac{104}{100} to lowest terms by extracting and canceling out 4.

$$-2x-\frac{26}{25}+\frac{8}{5}=92\left(-3\right)$$

Least common multiple of 25 and 5 is 25. Convert -\frac{26}{25} and \frac{8}{5} to fractions with denominator 25.

$$-2x-\frac{26}{25}+\frac{40}{25}=92\left(-3\right)$$

Since -\frac{26}{25} and \frac{40}{25} have the same denominator, add them by adding their numerators.

$$-2x+\frac{-26+40}{25}=92\left(-3\right)$$

Add -26 and 40 to get 14.

$$-2x+\frac{14}{25}=92\left(-3\right)$$

Multiply 92 and -3 to get -276.

$$-2x+\frac{14}{25}=-276$$

Subtract \frac{14}{25} from both sides.

$$-2x=-276-\frac{14}{25}$$

Convert -276 to fraction -\frac{6900}{25}.

$$-2x=-\frac{6900}{25}-\frac{14}{25}$$

Since -\frac{6900}{25} and \frac{14}{25} have the same denominator, subtract them by subtracting their numerators.

$$-2x=\frac{-6900-14}{25}$$

Subtract 14 from -6900 to get -6914.

$$-2x=-\frac{6914}{25}$$

Divide both sides by -2.

$$x=\frac{-\frac{6914}{25}}{-2}$$

Express \frac{-\frac{6914}{25}}{-2} as a single fraction.

$$x=\frac{-6914}{25\left(-2\right)}$$

Multiply 25 and -2 to get -50.

$$x=\frac{-6914}{-50}$$

Reduce the fraction \frac{-6914}{-50} to lowest terms by extracting and canceling out -2.

$$x=\frac{3457}{25}$$