Solve 41/1+x+1/3=1/4

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

Solve for x

$$x = -\frac{61}{4} = -15\frac{1}{4} = -15.25$$

Steps for Solving Linear Equation

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

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

Multiply 4 and 1 to get 4.

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

Add 4 and 1 to get 5.

$$12\times 5+4\left(x+1\right)=3$$

Multiply 12 and 5 to get 60.

$$60+4\left(x+1\right)=3$$

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

$$60+4x+4=3$$

Add 60 and 4 to get 64.

$$64+4x=3$$

Subtract 64 from both sides.

$$4x=3-64$$

Subtract 64 from 3 to get -61.

$$4x=-61$$

Divide both sides by 4.

$$x=\frac{-61}{4}$$

Fraction \frac{-61}{4} can be rewritten as -\frac{61}{4} by extracting the negative sign.

$$x=-\frac{61}{4}$$