Two-step Algebraic Equations

• Add 98 to both sides

• Divide both sides by 2

• Add 50 to both sides

• Multiply both sides by 2

Answer explanation

Remember, we ALWAYS use inverses (opposites) to eliminate the constant (the number NOT with the variable) FIRST

2x - 50 = -98

becomes

2x = -48

• Add 48 to both sides

• Divide both sides by 2

• Subtract 2 from both sides

• Multiply both sides by 2

Answer explanation

Remember, we ALWAYS use inverses (opposites) to eliminate the coefficient (the number WITH the variable) NEXT

2x = -48

becomes

x = -24

• Add 59 to both sides

• Divide both sides by -3

• Add 32 to both sides

• Multiply both sides by -3

Answer explanation

Remember, we ALWAYS use inverses (opposites) to eliminate the constant (the number NOT with the variable) FIRST

2x - 50 = -98

becomes

2x = -48

• Add 3 to both sides

• Divide both sides by -3

• Add 27 to both sides

• Multiply both sides by -3

Answer explanation

Remember, we ALWAYS use inverses (opposites) to eliminate the coefficient (the number WITH the variable) NEXT

-3x = -27

---- -----

-3 -3

becomes

x = 9

• Add 22 to both sides

• Divide both sides by 10

• Add -20 to both sides

• Multiply both sides by 10

Answer explanation

Remember, we ALWAYS use inverses (opposites) to eliminate the constant (the number NOT with the variable) FIRST

x

--- - 22 = -20

10

becomes

x

--- = 2

10

• Add 10 to both sides

• Divide both sides by 10

• Multiply both sides by 10

• Subtract 2 from both sides

Answer explanation

Remember, we ALWAYS use inverses (opposites) to eliminate the coefficient (the number WITH the variable) NEXT

10 x

--- x --- = 2 x 10

1 10

becomes

x = 20