Solve 3(x+1)-5(x-1)=-21

$$3 ( x + 1 ) - 5 ( x - 1 ) = - 21$$

Solve for x

$$x = \frac{29}{2} = 14\frac{1}{2} = 14.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+1.

$$3x+3-5\left(x-1\right)=-21$$

Use the distributive property to multiply -5 by x-1.

$$3x+3-5x+5=-21$$

Combine 3x and -5x to get -2x.

$$-2x+3+5=-21$$

Add 3 and 5 to get 8.

$$-2x+8=-21$$

Subtract 8 from both sides.

$$-2x=-21-8$$

Subtract 8 from -21 to get -29.

$$-2x=-29$$

Divide both sides by -2.

$$x=\frac{-29}{-2}$$

Fraction \frac{-29}{-2} can be simplified to \frac{29}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{29}{2}$$