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Multi-Step Equations

Objective: I know how to solve multi-step equations.

To solve a multi-step equation, we would start by trying to simplify the equation by combining like terms and using the distributive property whenever possible.

Consider the equation 2( x + 1) – x = 5. First, we will use the distributive property to remove the parenthesis and then we can combine like terms and the isolate the variable.

Look at the lesson on Solving Multi-Step Equations if you need help on how to solve multi-step equations.

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
Solve the following equations:

a) 4x + 2x = 12
Answer: x =

b) 7y – 5y = 24
Answer: y =

c) 4z – 2z + 4 = 8
Answer: z =

d) 3p – 2p – 4 = –8
Answer: p =

e) 2p + 10 + 3p = 55
Answer: p =

f) 9x – 6 – 3x = 30
Answer: x =

g) 7 – 2s = 3s + 2
Answer: s =

h) 3(q + 2) = 2(3 – q)
Answer: q =

i) 6(3 – 2e)= 2(5 – 2e)
Answer: e =

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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