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

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

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$3\left(x+3\right)-\left(4x-1\right)=6$$

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

$$3x+9-\left(4x-1\right)=6$$

To find the opposite of 4x-1, find the opposite of each term.

$$3x+9-4x-\left(-1\right)=6$$

The opposite of -1 is 1.

$$3x+9-4x+1=6$$

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

$$-x+9+1=6$$

Add 9 and 1 to get 10.

$$-x+10=6$$

Subtract 10 from both sides.

$$-x=6-10$$

Subtract 10 from 6 to get -4.

$$-x=-4$$

Multiply both sides by -1.

$$x=4$$