Solve -62/3x+6=75/100

$$- 6 \frac { 2 } { 3 } x + 6 = \frac { 75 } { 100 }$$

Solve for x

$$x=\frac{63}{80}=0.7875$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 300, the least common multiple of 3,100.

$$300\left(-\frac{6\times 3+2}{3}\right)x+1800=3\times 75$$

Multiply 6 and 3 to get 18.

$$300\left(-\frac{18+2}{3}\right)x+1800=3\times 75$$

Add 18 and 2 to get 20.

$$300\left(-\frac{20}{3}\right)x+1800=3\times 75$$

Express 300\left(-\frac{20}{3}\right) as a single fraction.

$$\frac{300\left(-20\right)}{3}x+1800=3\times 75$$

Multiply 300 and -20 to get -6000.

$$\frac{-6000}{3}x+1800=3\times 75$$

Divide -6000 by 3 to get -2000.

$$-2000x+1800=3\times 75$$

Multiply 3 and 75 to get 225.

$$-2000x+1800=225$$

Subtract 1800 from both sides.

$$-2000x=225-1800$$

Subtract 1800 from 225 to get -1575.

$$-2000x=-1575$$

Divide both sides by -2000.

$$x=\frac{-1575}{-2000}$$

Reduce the fraction \frac{-1575}{-2000} to lowest terms by extracting and canceling out -25.

$$x=\frac{63}{80}$$