Solve 11/2x+2(x+2)=2

$$\frac{ 11 }{ 2 } x+2(x+2)=2$$

Solve for x

$$x=-\frac{4}{15}\approx -0.266666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+2.

$$\frac{11}{2}x+2x+4=2$$

Combine \frac{11}{2}x and 2x to get \frac{15}{2}x.

$$\frac{15}{2}x+4=2$$

Subtract 4 from both sides.

$$\frac{15}{2}x=2-4$$

Subtract 4 from 2 to get -2.

$$\frac{15}{2}x=-2$$

Multiply both sides by \frac{2}{15}, the reciprocal of \frac{15}{2}.

$$x=-2\times \frac{2}{15}$$

Express -2\times \frac{2}{15} as a single fraction.

$$x=\frac{-2\times 2}{15}$$

Multiply -2 and 2 to get -4.

$$x=\frac{-4}{15}$$

Fraction \frac{-4}{15} can be rewritten as -\frac{4}{15} by extracting the negative sign.

$$x=-\frac{4}{15}$$