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

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

Solve for x

$$x=-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 2 by x+4.

$$2x+8+2\left(x-1\right)=1\left(x+4\right)$$

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

$$2x+8+2x-2=1\left(x+4\right)$$

Combine 2x and 2x to get 4x.

$$4x+8-2=1\left(x+4\right)$$

Subtract 2 from 8 to get 6.

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

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

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

Subtract x from both sides.

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

Combine 4x and -x to get 3x.

$$3x+6=4$$

Subtract 6 from both sides.

$$3x=4-6$$

Subtract 6 from 4 to get -2.

$$3x=-2$$

Divide both sides by 3.

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

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

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