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

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

Solve for x

$$x=\frac{11}{14}\approx 0.785714286$$

Steps for Solving Linear Equation

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

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

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

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

Use the distributive property to multiply 3 by 2x-1.

$$2x-2+6x-3=6-6x$$

Combine 2x and 6x to get 8x.

$$8x-2-3=6-6x$$

Subtract 3 from -2 to get -5.

$$8x-5=6-6x$$

Add 6x to both sides.

$$8x-5+6x=6$$

Combine 8x and 6x to get 14x.

$$14x-5=6$$

Add 5 to both sides.

$$14x=6+5$$

Add 6 and 5 to get 11.

$$14x=11$$

Divide both sides by 14.

$$x=\frac{11}{14}$$