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

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

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$2\left(x-1\right)-6=3\left(4-x\right)$$

Use the distributive property to multiply 2 by x-1.

$$2x-2-6=3\left(4-x\right)$$

Subtract 6 from -2 to get -8.

$$2x-8=3\left(4-x\right)$$

Use the distributive property to multiply 3 by 4-x.

$$2x-8=12-3x$$

Add 3x to both sides.

$$2x-8+3x=12$$

Combine 2x and 3x to get 5x.

$$5x-8=12$$

Add 8 to both sides.

$$5x=12+8$$

Add 12 and 8 to get 20.

$$5x=20$$

Divide both sides by 5.

$$x=\frac{20}{5}$$

Divide 20 by 5 to get 4.

$$x=4$$