Solve (1-1/4x)*4=(1+1/6x)

$$( 1 - \frac { 1 } { 4 } x ) \cdot 4 = ( 1 + \frac { 1 } { 6 } x )$$

Solve for x

$$x = \frac{18}{7} = 2\frac{4}{7} \approx 2.571428571$$

Steps for Solving Linear Equation

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

$$4-\frac{1}{4}x\times 4=1+\frac{1}{6}x$$

Cancel out 4 and 4.

$$4-x=1+\frac{1}{6}x$$

Subtract \frac{1}{6}x from both sides.

$$4-x-\frac{1}{6}x=1$$

Combine -x and -\frac{1}{6}x to get -\frac{7}{6}x.

$$4-\frac{7}{6}x=1$$

Subtract 4 from both sides.

$$-\frac{7}{6}x=1-4$$

Subtract 4 from 1 to get -3.

$$-\frac{7}{6}x=-3$$

Multiply both sides by -\frac{6}{7}, the reciprocal of -\frac{7}{6}.

$$x=-3\left(-\frac{6}{7}\right)$$

Express -3\left(-\frac{6}{7}\right) as a single fraction.

$$x=\frac{-3\left(-6\right)}{7}$$

Multiply -3 and -6 to get 18.

$$x=\frac{18}{7}$$