Solve 2x/7-5x/6+1/3=5

$$\frac { 2 x } { 7 } - \frac { 5 x } { 6 } + \frac { 1 } { 3 } = 5$$

Solve for x

$$x = -\frac{196}{23} = -8\frac{12}{23} \approx -8.52173913$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 42, the least common multiple of 7,6,3.

$$6\times 2x-7\times 5x+14=210$$

Multiply 6 and 2 to get 12.

$$12x-7\times 5x+14=210$$

Multiply -7 and 5 to get -35.

$$12x-35x+14=210$$

Combine 12x and -35x to get -23x.

$$-23x+14=210$$

Subtract 14 from both sides.

$$-23x=210-14$$

Subtract 14 from 210 to get 196.

$$-23x=196$$

Divide both sides by -23.

$$x=\frac{196}{-23}$$

Fraction \frac{196}{-23} can be rewritten as -\frac{196}{23} by extracting the negative sign.

$$x=-\frac{196}{23}$$