Solve 7x+6/3=x-7/2+22

$$\frac { 7 x + 6 } { 3 } = \frac { x - 7 } { 2 } + 22$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

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

$$2\left(7x+6\right)=3\left(x-7\right)+132$$

Use the distributive property to multiply 2 by 7x+6.

$$14x+12=3\left(x-7\right)+132$$

Use the distributive property to multiply 3 by x-7.

$$14x+12=3x-21+132$$

Add -21 and 132 to get 111.

$$14x+12=3x+111$$

Subtract 3x from both sides.

$$14x+12-3x=111$$

Combine 14x and -3x to get 11x.

$$11x+12=111$$

Subtract 12 from both sides.

$$11x=111-12$$

Subtract 12 from 111 to get 99.

$$11x=99$$

Divide both sides by 11.

$$x=\frac{99}{11}$$

Divide 99 by 11 to get 9.

$$x=9$$