Transcript Solving Equations with Variables on Both Sides Step 1

 Step 1: Eliminate Parentheses- Use distributive
property
 3(2x+3)= 7x - 3 + x
 Step 2: Combine all like terms
 6x + 9 = 8x - 3 + x
 Step 3: Move all variables to one side of the equation
 6x + 9 = 9x -3
 Step 4: Solve using inverse operations
 12 = 3x
 Follow steps:
 Check your solution by substituting the value back into the
original equation.
 Follow steps:
 Check your solution by substituting the value back into the
original equation.
If variables cancel there is no solution!
 Daisy’s Flowers sell a rose bouquet for $39.95 plus
$2.95 for every rose. A competing florist sells a
similar bouquet for $26.00 plus $4.50 for every
rose. Find the number of roses that would make
both florist’s bouquets cost the same price.
 Marla’s Gift Baskets sell a muffin basket for $22.00
plus $2.25 for every balloon. A competing service
sells a similar muffin basket for $16.00 plus $3.00
for every balloon. Find the number of balloons
that would make both gift basket companies
muffin baskets cost the same price.
Solve.
1. 4x + 16 = 2x
x = –8
2. 8x – 3 = 15 + 5x
x=6
3. 2(3x + 11) = 6x + 4 no solution
4.
x= x–9
x = 36
5. An apple has about 30 calories more than an orange.
Five oranges have about as many calories as 3 apples.
How many calories are in each?
An orange has 45 calories. An apple has 75
calories.
 What are the steps to solving with a variable on both
sides?
 Can a problem have no solution? When?