Solve 7x-1/4+1/3[2x+1-x/2]=0

$$\frac { 7 x - 1 } { 4 } + \frac { 1 } { 3 } [ 2 x + \frac { 1 - x } { 2 } ] = 0$$

Solve for x

$$x=\frac{1}{27}\approx 0.037037037$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3,2.

$$3\left(7x-1\right)+4\left(2x+\frac{1-x}{2}\right)=0$$

Use the distributive property to multiply 3 by 7x-1.

$$21x-3+4\left(2x+\frac{1-x}{2}\right)=0$$

Use the distributive property to multiply 4 by 2x+\frac{1-x}{2}.

$$21x-3+8x+4\times \frac{1-x}{2}=0$$

Cancel out 2, the greatest common factor in 4 and 2.

$$21x-3+8x+2\left(1-x\right)=0$$

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

$$21x-3+8x+2-2x=0$$

Combine 8x and -2x to get 6x.

$$21x-3+6x+2=0$$

Combine 21x and 6x to get 27x.

$$27x-3+2=0$$

Add -3 and 2 to get -1.

$$27x-1=0$$

Add 1 to both sides. Anything plus zero gives itself.

$$27x=1$$

Divide both sides by 27.

$$x=\frac{1}{27}$$