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

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

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

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

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

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

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

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

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

Subtract 3 from 12 to get 9.

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

Add 6x to both sides.

$$4x+4+6x=9$$

Combine 4x and 6x to get 10x.

$$10x+4=9$$

Subtract 4 from both sides.

$$10x=9-4$$

Subtract 4 from 9 to get 5.

$$10x=5$$

Divide both sides by 10.

$$x=\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{1}{2}$$