Solve 3*(2-x)+3(6-x)=3-2x

$$3 \times ( 2 - x ) + 3 ( 6 - x ) = 3 - 2 x$$

Solve for x

$$x = \frac{21}{4} = 5\frac{1}{4} = 5.25$$

Steps for Solving Linear Equation

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

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

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

$$6-3x+18-3x=3-2x$$

Add 6 and 18 to get 24.

$$24-3x-3x=3-2x$$

Combine -3x and -3x to get -6x.

$$24-6x=3-2x$$

Add 2x to both sides.

$$24-6x+2x=3$$

Combine -6x and 2x to get -4x.

$$24-4x=3$$

Subtract 24 from both sides.

$$-4x=3-24$$

Subtract 24 from 3 to get -21.

$$-4x=-21$$

Divide both sides by -4.

$$x=\frac{-21}{-4}$$

Fraction \frac{-21}{-4} can be simplified to \frac{21}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{21}{4}$$