Solve 3/2x-1/4=2-1/4x

$$\frac { 3 } { 2 } x - \frac { 1 } { 4 } = 2 - \frac { 1 } { 4 } x$$

Solve for x

$$x = \frac{9}{7} = 1\frac{2}{7} \approx 1.285714286$$

Steps for Solving Linear Equation

Add \frac{1}{4}x to both sides.

$$\frac{3}{2}x-\frac{1}{4}+\frac{1}{4}x=2$$

Combine \frac{3}{2}x and \frac{1}{4}x to get \frac{7}{4}x.

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

Add \frac{1}{4} to both sides.

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

Convert 2 to fraction \frac{8}{4}.

$$\frac{7}{4}x=\frac{8}{4}+\frac{1}{4}$$

Since \frac{8}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{7}{4}x=\frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{7}{4}x=\frac{9}{4}$$

Multiply both sides by \frac{4}{7}, the reciprocal of \frac{7}{4}.

$$x=\frac{9}{4}\times \frac{4}{7}$$

Multiply \frac{9}{4} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{9\times 4}{4\times 7}$$

Cancel out 4 in both numerator and denominator.

$$x=\frac{9}{7}$$