Solve 4-x-3/6=2-9-2x/3

$$4 - \frac { x - 3 } { 6 } = 2 - \frac { 9 - 2 x } { 3 }$$

Solve for x

$$x = \frac{33}{5} = 6\frac{3}{5} = 6.6$$

Steps for Solving Linear Equation

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

$$24-\left(x-3\right)=12-2\left(9-2x\right)$$

To find the opposite of x-3, find the opposite of each term.

$$24-x-\left(-3\right)=12-2\left(9-2x\right)$$

The opposite of -3 is 3.

$$24-x+3=12-2\left(9-2x\right)$$

Add 24 and 3 to get 27.

$$27-x=12-2\left(9-2x\right)$$

Use the distributive property to multiply -2 by 9-2x.

$$27-x=12-18+4x$$

Subtract 18 from 12 to get -6.

$$27-x=-6+4x$$

Subtract 4x from both sides.

$$27-x-4x=-6$$

Combine -x and -4x to get -5x.

$$27-5x=-6$$

Subtract 27 from both sides.

$$-5x=-6-27$$

Subtract 27 from -6 to get -33.

$$-5x=-33$$

Divide both sides by -5.

$$x=\frac{-33}{-5}$$

Fraction \frac{-33}{-5} can be simplified to \frac{33}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{33}{5}$$