Solve 3(x-2)-(1-x)=13

$$3 ( x - 2 ) - ( 1 - x ) = 13$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

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

$$3x-6-\left(1-x\right)=13$$

To find the opposite of 1-x, find the opposite of each term.

$$3x-6-1-\left(-x\right)=13$$

The opposite of -x is x.

$$3x-6-1+x=13$$

Subtract 1 from -6 to get -7.

$$3x-7+x=13$$

Combine 3x and x to get 4x.

$$4x-7=13$$

Add 7 to both sides.

$$4x=13+7$$

Add 13 and 7 to get 20.

$$4x=20$$

Divide both sides by 4.

$$x=\frac{20}{4}$$

Divide 20 by 4 to get 5.

$$x=5$$