Solve 1/7(2x+14)=4-2x

$$\frac { 1 } { 7 } ( 2 x + 14 ) = 4 - 2 x$$

Solve for x

$$x=\frac{7}{8}=0.875$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{7} by 2x+14.

$$\frac{1}{7}\times 2x+\frac{1}{7}\times 14=4-2x$$

Multiply \frac{1}{7} and 2 to get \frac{2}{7}.

$$\frac{2}{7}x+\frac{1}{7}\times 14=4-2x$$

Multiply \frac{1}{7} and 14 to get \frac{14}{7}.

$$\frac{2}{7}x+\frac{14}{7}=4-2x$$

Divide 14 by 7 to get 2.

$$\frac{2}{7}x+2=4-2x$$

Add 2x to both sides.

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

Combine \frac{2}{7}x and 2x to get \frac{16}{7}x.

$$\frac{16}{7}x+2=4$$

Subtract 2 from both sides.

$$\frac{16}{7}x=4-2$$

Subtract 2 from 4 to get 2.

$$\frac{16}{7}x=2$$

Multiply both sides by \frac{7}{16}, the reciprocal of \frac{16}{7}.

$$x=2\times \frac{7}{16}$$

Express 2\times \frac{7}{16} as a single fraction.

$$x=\frac{2\times 7}{16}$$

Multiply 2 and 7 to get 14.

$$x=\frac{14}{16}$$

Reduce the fraction \frac{14}{16} to lowest terms by extracting and canceling out 2.

$$x=\frac{7}{8}$$