Solve 13-4(x-1)+1=12+2(-2)

$$13 - 4 ( x - 1 ) + 1 = 12 + 2 ( - 2 )$$

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

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

$$13-4x+4+1=12+2\left(-2\right)$$

Add 13 and 4 to get 17.

$$17-4x+1=12+2\left(-2\right)$$

Add 17 and 1 to get 18.

$$18-4x=12+2\left(-2\right)$$

Multiply 2 and -2 to get -4.

$$18-4x=12-4$$

Subtract 4 from 12 to get 8.

$$18-4x=8$$

Subtract 18 from both sides.

$$-4x=8-18$$

Subtract 18 from 8 to get -10.

$$-4x=-10$$

Divide both sides by -4.

$$x=\frac{-10}{-4}$$

Reduce the fraction \frac{-10}{-4} to lowest terms by extracting and canceling out -2.

$$x=\frac{5}{2}$$