Solve 2x-(x-1)=5-(x-3)

$$2x-(x-1)=5-(x-3)$$

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

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

$$2x-x-\left(-1\right)=5-\left(x-3\right)$$

The opposite of -1 is 1.

$$2x-x+1=5-\left(x-3\right)$$

Combine 2x and -x to get x.

$$x+1=5-\left(x-3\right)$$

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

$$x+1=5-x-\left(-3\right)$$

The opposite of -3 is 3.

$$x+1=5-x+3$$

Add 5 and 3 to get 8.

$$x+1=8-x$$

Add x to both sides.

$$x+1+x=8$$

Combine x and x to get 2x.

$$2x+1=8$$

Subtract 1 from both sides.

$$2x=8-1$$

Subtract 1 from 8 to get 7.

$$2x=7$$

Divide both sides by 2.

$$x=\frac{7}{2}$$