Lesson on Solving Complex Equations

1-6 solving complex linear equations

planning a solution

• know your enemy- does the equation have distribution, combine like terms, variables on the same side of the equal sign?

• Remember, plan what you are going to do and trust your skills

Multiple Choice

What is the only step you can not do first.

$$5-3\left(2x+4\right)-2=3\left(7-x\right)-5\left(2x+7\right)-12$$  

• multiply -3(2x+4)

• do 5-3

• add 2 to both sides of the equation

• add 12 to both sides of the equation

5−3(2x+4)−2=3(7−x)−5(2x+7)−12

 

• A good plan is to always distribute first

• 5-6x-12-2=21-3x-10x-35-12

• then combine like terms

• -6x-9 = -13x-26

• get the variable on 1 side of the equal sign

• 7x-9 = -26

• get rid of the constant on same side as the variable

Multiple Choice

• -5
• -2
• 2
• 5

Multiple Choice

• 3
• 5
• 7
• 9