Solve 2/5x+4=-4x

$$\frac { 2 } { 5 } x + 4 = - 4 x$$

Solve for x

$$x=-\frac{10}{11}\approx -0.909090909$$

Steps for Solving Linear Equation

Add 4x to both sides.

$$\frac{2}{5}x+4+4x=0$$

Combine \frac{2}{5}x and 4x to get \frac{22}{5}x.

$$\frac{22}{5}x+4=0$$

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$\frac{22}{5}x=-4$$

Multiply both sides by \frac{5}{22}, the reciprocal of \frac{22}{5}.

$$x=-4\times \frac{5}{22}$$

Express -4\times \frac{5}{22} as a single fraction.

$$x=\frac{-4\times 5}{22}$$

Multiply -4 and 5 to get -20.

$$x=\frac{-20}{22}$$

Reduce the fraction \frac{-20}{22} to lowest terms by extracting and canceling out 2.

$$x=-\frac{10}{11}$$