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

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

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Subtract \frac{2}{3}x from both sides.

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

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

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

Add \frac{3}{4} to both sides.

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

Since -\frac{1}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

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

Add -1 and 3 to get 2.

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

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

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

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

$$x=\frac{1}{2}\times \frac{3}{2}$$

Multiply \frac{1}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 3}{2\times 2}$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 2}.

$$x=\frac{3}{4}$$