Solving Equations with Variables on both Sides

Quinda begins to solve the equation  by adding 8.5x to each side of the equation. Which next step would result in the variable terms and constant terms being on different sides of the equals sign?

 $-4.5x+3=2\ -8.5x$  

• Subtract 4x from both sides.

• Subtract 2 from both sides.

• Add 4x to both sides.

• Subtract 3 from both sides.

 $\frac{2}{3}x+1=\frac{1}{6}x\ -\ 7$  What is the solution to the equation ?

• x = -16

• x = -4

• x = 4

• x = 16

 $6x+2=9x-1$  

What is the solution to the equation ?

• x = -3

• x = -1

• x = 1

• x = 3

 $3.7x-18=-4.3x-34$  

Which is the most efficient first step to solve for x in the equation ?

• Add 4.3x to both sides of the equation.

• Add 3.7x to both sides of the equation.

• Subtract 18 from both sides of the equation.

• Subtract 34 from both sides of the equation.

 $3x-5=-2x+10$  

Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation ?

• x = 5

• -5 = x

• -15 = -5x

• -5x = 15

 $4x-6=10x-3$  

What is the solution to the equation ?

• x = -2

•  $x=\frac{1}{2}\$  

•  $x\ =\ -\frac{1}{2}$  

• x = 2

 $\frac{1}{2}x+3=\frac{2}{3}x\ +1$  

What is the solution to the equation?

•  $\frac{1}{3}$  

•  $\frac{2}{3}$  

• 2

• 12

 $1.8-3.7x=-4.2x+0.3$  

What is the value of x in the equation ?