Solve x-4/3+x+1/2-x=7/6+1/2xquad

$$\frac { x - 4 } { 3 } + \frac { x + 1 } { 2 } - x = \frac { 7 } { 6 } + \frac { 1 } { 2 } x \quad$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2,6.

$$2\left(x-4\right)+3\left(x+1\right)-6x=7+3x$$

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

$$2x-8+3\left(x+1\right)-6x=7+3x$$

Use the distributive property to multiply 3 by x+1.

$$2x-8+3x+3-6x=7+3x$$

Combine 2x and 3x to get 5x.

$$5x-8+3-6x=7+3x$$

Add -8 and 3 to get -5.

$$5x-5-6x=7+3x$$

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

$$-x-5=7+3x$$

Subtract 3x from both sides.

$$-x-5-3x=7$$

Combine -x and -3x to get -4x.

$$-4x-5=7$$

Add 5 to both sides.

$$-4x=7+5$$

Add 7 and 5 to get 12.

$$-4x=12$$

Divide both sides by -4.

$$x=\frac{12}{-4}$$

Divide 12 by -4 to get -3.

$$x=-3$$