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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$3\left(x+6\right)=21-2\left(x-1\right)$$

Use the distributive property to multiply 3 by x+6.

$$3x+18=21-2\left(x-1\right)$$

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

$$3x+18=21-2x+2$$

Add 21 and 2 to get 23.

$$3x+18=23-2x$$

Add 2x to both sides.

$$3x+18+2x=23$$

Combine 3x and 2x to get 5x.

$$5x+18=23$$

Subtract 18 from both sides.

$$5x=23-18$$

Subtract 18 from 23 to get 5.

$$5x=5$$

Divide both sides by 5.

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

Divide 5 by 5 to get 1.

$$x=1$$