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

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

Solve for x

$$x=10$$

Steps for Solving Linear Equation

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

$$18-2\left(x-7\right)=3\left(x-6\right)$$

Use the distributive property to multiply -2 by x-7.

$$18-2x+14=3\left(x-6\right)$$

Add 18 and 14 to get 32.

$$32-2x=3\left(x-6\right)$$

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

$$32-2x=3x-18$$

Subtract 3x from both sides.

$$32-2x-3x=-18$$

Combine -2x and -3x to get -5x.

$$32-5x=-18$$

Subtract 32 from both sides.

$$-5x=-18-32$$

Subtract 32 from -18 to get -50.

$$-5x=-50$$

Divide both sides by -5.

$$x=\frac{-50}{-5}$$

Divide -50 by -5 to get 10.

$$x=10$$