Solve (x+3)-2(x-1)=3x-17

$$( x + 3 ) - 2 ( x - 1 ) = 3 x - 17$$

Solve for x

$$x = \frac{11}{2} = 5\frac{1}{2} = 5.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x-1.

$$x+3-2x+2=3x-17$$

Combine x and -2x to get -x.

$$-x+3+2=3x-17$$

Add 3 and 2 to get 5.

$$-x+5=3x-17$$

Subtract 3x from both sides.

$$-x+5-3x=-17$$

Combine -x and -3x to get -4x.

$$-4x+5=-17$$

Subtract 5 from both sides.

$$-4x=-17-5$$

Subtract 5 from -17 to get -22.

$$-4x=-22$$

Divide both sides by -4.

$$x=\frac{-22}{-4}$$

Reduce the fraction \frac{-22}{-4} to lowest terms by extracting and canceling out -2.

$$x=\frac{11}{2}$$