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

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

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$3\left(x-1\right)+24=12+2\left(2x+3\right)$$

Use the distributive property to multiply 3 by x-1.

$$3x-3+24=12+2\left(2x+3\right)$$

Add -3 and 24 to get 21.

$$3x+21=12+2\left(2x+3\right)$$

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

$$3x+21=12+4x+6$$

Add 12 and 6 to get 18.

$$3x+21=18+4x$$

Subtract 4x from both sides.

$$3x+21-4x=18$$

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

$$-x+21=18$$

Subtract 21 from both sides.

$$-x=18-21$$

Subtract 21 from 18 to get -3.

$$-x=-3$$

Multiply both sides by -1.

$$x=3$$