Solve x+3/6+x+5/4=x+7/2

$$\frac { x + 3 } { 6 } + \frac { x + 5 } { 4 } = \frac { x + 7 } { 2 }$$

Solve for x

$$x=-21$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,4,2.

$$2\left(x+3\right)+3\left(x+5\right)=6\left(x+7\right)$$

Use the distributive property to multiply 2 by x+3.

$$2x+6+3\left(x+5\right)=6\left(x+7\right)$$

Use the distributive property to multiply 3 by x+5.

$$2x+6+3x+15=6\left(x+7\right)$$

Combine 2x and 3x to get 5x.

$$5x+6+15=6\left(x+7\right)$$

Add 6 and 15 to get 21.

$$5x+21=6\left(x+7\right)$$

Use the distributive property to multiply 6 by x+7.

$$5x+21=6x+42$$

Subtract 6x from both sides.

$$5x+21-6x=42$$

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

$$-x+21=42$$

Subtract 21 from both sides.

$$-x=42-21$$

Subtract 21 from 42 to get 21.

$$-x=21$$

Multiply both sides by -1.

$$x=-21$$