Solve 2/5c+1/5=-5c/5-3/10

$$\frac { 2 } { 5 } c + \frac { 1 } { 5 } = - \frac { 5 c } { 5 } - \frac { 3 } { 10 }$$

Solve for c

$$c=-\frac{5}{14}\approx -0.357142857$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,10.

$$4c+2=-2\times 5c-3$$

Multiply -2 and 5 to get -10.

$$4c+2=-10c-3$$

Add 10c to both sides.

$$4c+2+10c=-3$$

Combine 4c and 10c to get 14c.

$$14c+2=-3$$

Subtract 2 from both sides.

$$14c=-3-2$$

Subtract 2 from -3 to get -5.

$$14c=-5$$

Divide both sides by 14.

$$c=\frac{-5}{14}$$

Fraction \frac{-5}{14} can be rewritten as -\frac{5}{14} by extracting the negative sign.

$$c=-\frac{5}{14}$$