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

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

Solve for x

$$x=\frac{2}{7}\approx 0.285714286$$

Steps for Solving Linear Equation

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

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

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

$$4x+16+6\left(x-1\right)=3\left(x+4\right)$$

Use the distributive property to multiply 6 by x-1.

$$4x+16+6x-6=3\left(x+4\right)$$

Combine 4x and 6x to get 10x.

$$10x+16-6=3\left(x+4\right)$$

Subtract 6 from 16 to get 10.

$$10x+10=3\left(x+4\right)$$

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

$$10x+10=3x+12$$

Subtract 3x from both sides.

$$10x+10-3x=12$$

Combine 10x and -3x to get 7x.

$$7x+10=12$$

Subtract 10 from both sides.

$$7x=12-10$$

Subtract 10 from 12 to get 2.

$$7x=2$$

Divide both sides by 7.

$$x=\frac{2}{7}$$