Solve -x/5+4=7/6-7/5x

$$- \frac { x } { 5 } + 4 = \frac { 7 } { 6 } - \frac { 7 } { 5 } x$$

Solve for x

$$x = -\frac{85}{36} = -2\frac{13}{36} \approx -2.361111111$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 5,6.

$$-6x+120=35-42x$$

Add 42x to both sides.

$$-6x+120+42x=35$$

Combine -6x and 42x to get 36x.

$$36x+120=35$$

Subtract 120 from both sides.

$$36x=35-120$$

Subtract 120 from 35 to get -85.

$$36x=-85$$

Divide both sides by 36.

$$x=\frac{-85}{36}$$

Fraction \frac{-85}{36} can be rewritten as -\frac{85}{36} by extracting the negative sign.

$$x=-\frac{85}{36}$$