Solve 3(x+6)-(3x-4)=8-4(3-x)

$$3 ( x + 6 ) - ( 3 x - 4 ) = 8 - 4 ( 3 - x )$$

Solve for x

$$x = \frac{13}{2} = 6\frac{1}{2} = 6.5$$

Steps for Solving Linear Equation

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

$$3x+18-\left(3x-4\right)=8-4\left(3-x\right)$$

To find the opposite of 3x-4, find the opposite of each term.

$$3x+18-3x-\left(-4\right)=8-4\left(3-x\right)$$

The opposite of -4 is 4.

$$3x+18-3x+4=8-4\left(3-x\right)$$

Combine 3x and -3x to get 0.

$$18+4=8-4\left(3-x\right)$$

Add 18 and 4 to get 22.

$$22=8-4\left(3-x\right)$$

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

$$22=8-12+4x$$

Subtract 12 from 8 to get -4.

$$22=-4+4x$$

Swap sides so that all variable terms are on the left hand side.

$$-4+4x=22$$

Add 4 to both sides.

$$4x=22+4$$

Add 22 and 4 to get 26.

$$4x=26$$

Divide both sides by 4.

$$x=\frac{26}{4}$$

Reduce the fraction \frac{26}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{13}{2}$$