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

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

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4\left(x-1\right)-3\left(x-2\right)=12$$

Use the distributive property to multiply 4 by x-1.

$$4x-4-3\left(x-2\right)=12$$

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

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

Combine 4x and -3x to get x.

$$x-4+6=12$$

Add -4 and 6 to get 2.

$$x+2=12$$

Subtract 2 from both sides.

$$x=12-2$$

Subtract 2 from 12 to get 10.

$$x=10$$