Solve 3x+2-4x3-2+93=4x-5+2div4*3

$$3 x + 2 - 4 x 3 - 2 + 93 = 4 x - 5 + 2 \div 4 \times 3$$

Solve for x

$$x=\frac{193}{2}-4x_{3}$$

Steps for Solving Linear Equation

Subtract 2 from 2 to get 0.

$$3x-4x_{3}+93=4x-5+\frac{2}{4}\times 3$$

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

$$3x-4x_{3}+93=4x-5+\frac{1}{2}\times 3$$

Multiply \frac{1}{2} and 3 to get \frac{3}{2}.

$$3x-4x_{3}+93=4x-5+\frac{3}{2}$$

Add -5 and \frac{3}{2} to get -\frac{7}{2}.

$$3x-4x_{3}+93=4x-\frac{7}{2}$$

Subtract 4x from both sides.

$$3x-4x_{3}+93-4x=-\frac{7}{2}$$

Combine 3x and -4x to get -x.

$$-x-4x_{3}+93=-\frac{7}{2}$$

Add 4x_{3} to both sides.

$$-x+93=-\frac{7}{2}+4x_{3}$$

Subtract 93 from both sides.

$$-x=-\frac{7}{2}+4x_{3}-93$$

Subtract 93 from -\frac{7}{2} to get -\frac{193}{2}.

$$-x=-\frac{193}{2}+4x_{3}$$

The equation is in standard form.

$$-x=4x_{3}-\frac{193}{2}$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{4x_{3}-\frac{193}{2}}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{4x_{3}-\frac{193}{2}}{-1}$$

Divide -\frac{193}{2}+4x_{3} by -1.

$$x=\frac{193}{2}-4x_{3}$$

Solve for x_3

$$x_{3}=-\frac{x}{4}+\frac{193}{8}$$

Steps for Solving Linear Equation

Subtract 2 from 2 to get 0.

$$3x-4x_{3}+93=4x-5+\frac{2}{4}\times 3$$

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

$$3x-4x_{3}+93=4x-5+\frac{1}{2}\times 3$$

Multiply \frac{1}{2} and 3 to get \frac{3}{2}.

$$3x-4x_{3}+93=4x-5+\frac{3}{2}$$

Add -5 and \frac{3}{2} to get -\frac{7}{2}.

$$3x-4x_{3}+93=4x-\frac{7}{2}$$

Subtract 3x from both sides.

$$-4x_{3}+93=4x-\frac{7}{2}-3x$$

Combine 4x and -3x to get x.

$$-4x_{3}+93=x-\frac{7}{2}$$

Subtract 93 from both sides.

$$-4x_{3}=x-\frac{7}{2}-93$$

Subtract 93 from -\frac{7}{2} to get -\frac{193}{2}.

$$-4x_{3}=x-\frac{193}{2}$$

Divide both sides by -4.

$$\frac{-4x_{3}}{-4}=\frac{x-\frac{193}{2}}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$x_{3}=\frac{x-\frac{193}{2}}{-4}$$

Divide x-\frac{193}{2} by -4.

$$x_{3}=-\frac{x}{4}+\frac{193}{8}$$