Solve x-1/6-x+3/2=3x+4/3

$$\frac { x - 1 } { 6 } - \frac { x + 3 } { 2 } = \frac { 3 x + 4 } { 3 }$$

Solve for x

$$x = -\frac{9}{4} = -2\frac{1}{4} = -2.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,2,3.

$$x-1-3\left(x+3\right)=2\left(3x+4\right)$$

Use the distributive property to multiply -3 by x+3.

$$x-1-3x-9=2\left(3x+4\right)$$

Combine x and -3x to get -2x.

$$-2x-1-9=2\left(3x+4\right)$$

Subtract 9 from -1 to get -10.

$$-2x-10=2\left(3x+4\right)$$

Use the distributive property to multiply 2 by 3x+4.

$$-2x-10=6x+8$$

Subtract 6x from both sides.

$$-2x-10-6x=8$$

Combine -2x and -6x to get -8x.

$$-8x-10=8$$

Add 10 to both sides.

$$-8x=8+10$$

Add 8 and 10 to get 18.

$$-8x=18$$

Divide both sides by -8.

$$x=\frac{18}{-8}$$

Reduce the fraction \frac{18}{-8} to lowest terms by extracting and canceling out 2.

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