Solve 5+2(x+3/4x)=2x+2

$$5 + 2 ( x + \frac { 3 } { 4 } x ) = 2 x + 2$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Combine x and \frac{3}{4}x to get \frac{7}{4}x.

$$5+2\times \frac{7}{4}x=2x+2$$

Express 2\times \frac{7}{4} as a single fraction.

$$5+\frac{2\times 7}{4}x=2x+2$$

Multiply 2 and 7 to get 14.

$$5+\frac{14}{4}x=2x+2$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$5+\frac{7}{2}x=2x+2$$

Subtract 2x from both sides.

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

Combine \frac{7}{2}x and -2x to get \frac{3}{2}x.

$$5+\frac{3}{2}x=2$$

Subtract 5 from both sides.

$$\frac{3}{2}x=2-5$$

Subtract 5 from 2 to get -3.

$$\frac{3}{2}x=-3$$

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

$$x=-3\times \frac{2}{3}$$

Multiply -3 times \frac{2}{3}.

$$x=-2$$