Solve 6(3-x)-5(2x-4)=4(3x-1)+14

$$6 ( 3 - x ) - 5 ( 2 x - 4 ) = 4 ( 3 x - 1 ) + 14$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$18-6x-5\left(2x-4\right)=4\left(3x-1\right)+14$$

Use the distributive property to multiply -5 by 2x-4.

$$18-6x-10x+20=4\left(3x-1\right)+14$$

Combine -6x and -10x to get -16x.

$$18-16x+20=4\left(3x-1\right)+14$$

Add 18 and 20 to get 38.

$$38-16x=4\left(3x-1\right)+14$$

Use the distributive property to multiply 4 by 3x-1.

$$38-16x=12x-4+14$$

Add -4 and 14 to get 10.

$$38-16x=12x+10$$

Subtract 12x from both sides.

$$38-16x-12x=10$$

Combine -16x and -12x to get -28x.

$$38-28x=10$$

Subtract 38 from both sides.

$$-28x=10-38$$

Subtract 38 from 10 to get -28.

$$-28x=-28$$

Divide both sides by -28.

$$x=\frac{-28}{-28}$$

Divide -28 by -28 to get 1.

$$x=1$$