Solve 1/7(x+14)=1/4(x+20)

$$\frac { 1 } { 7 } ( x + 14 ) = \frac { 1 } { 4 } ( x + 20 )$$

Solve for x

$$x=-28$$

Steps for Solving Linear Equation

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

$$\frac{1}{7}x+\frac{1}{7}\times 14=\frac{1}{4}\left(x+20\right)$$

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

$$\frac{1}{7}x+\frac{14}{7}=\frac{1}{4}\left(x+20\right)$$

Divide 14 by 7 to get 2.

$$\frac{1}{7}x+2=\frac{1}{4}\left(x+20\right)$$

Use the distributive property to multiply \frac{1}{4} by x+20.

$$\frac{1}{7}x+2=\frac{1}{4}x+\frac{1}{4}\times 20$$

Multiply \frac{1}{4} and 20 to get \frac{20}{4}.

$$\frac{1}{7}x+2=\frac{1}{4}x+\frac{20}{4}$$

Divide 20 by 4 to get 5.

$$\frac{1}{7}x+2=\frac{1}{4}x+5$$

Subtract \frac{1}{4}x from both sides.

$$\frac{1}{7}x+2-\frac{1}{4}x=5$$

Combine \frac{1}{7}x and -\frac{1}{4}x to get -\frac{3}{28}x.

$$-\frac{3}{28}x+2=5$$

Subtract 2 from both sides.

$$-\frac{3}{28}x=5-2$$

Subtract 2 from 5 to get 3.

$$-\frac{3}{28}x=3$$

Multiply both sides by -\frac{28}{3}, the reciprocal of -\frac{3}{28}.

$$x=3\left(-\frac{28}{3}\right)$$

Cancel out 3 and 3.

$$x=-28$$