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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

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

Add 3 and 4 to get 7.

$$x+7=4x+2\left(x+1\right)$$

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

$$x+7=4x+2x+2$$

Combine 4x and 2x to get 6x.

$$x+7=6x+2$$

Subtract 6x from both sides.

$$x+7-6x=2$$

Combine x and -6x to get -5x.

$$-5x+7=2$$

Subtract 7 from both sides.

$$-5x=2-7$$

Subtract 7 from 2 to get -5.

$$-5x=-5$$

Divide both sides by -5.

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

Divide -5 by -5 to get 1.

$$x=1$$