Download Solve Equations With Variables on Both Sides

Solving Equations With
Variables on Both Sides
Lesson Objective:
To use what we already know to solve
equations with variables on both
sides.
WARM UP ADVANCED
MATH 7
1.
Come into the room quietly.
2.
Take a Problem Solving w/ Integers
worksheet from the front of your row.
Begin working on the assignment with
one partner.
You have until 12:45 pm
3.
4.
Tools for the Tool
Box!!
Steps to Solve Equations
with Variables on Both Sides





Eliminate ( ) on both sides of equation
using the distributive property.
Combine any like terms on both sides.
Collect variable on one side of the equation
Collect constants on the other side of the
equation
Solve
Use Steps to Solve Equation:
2(x + 7) + 3 = 4x - 1
2x + 14 + 3 = 4x – 1
2x + 17 = 4x - 1
-2x
-2x
17 = 2x - 1
+1
+1
18 = 2x
2
2
9= x
1) Eliminate ( ) --distribute
2) Combine like terms
3) Collect variables on same
side – use inverse operation
4) Collect constants on
same side – use inverse
operations
Check - replace “x” with solution
2(x + 7) + 3 = 4x - 1
2(9 + 7) + 3 = 4(9) - 1
2(16) + 3 = 4(9) - 1
32 + 3 = 36 - 1
35 = 35
X=9
1) Replace X = 9
2) Follow order of
operations on both
sides of equation
3) Checks
is the solution
to the equation
Use Steps to Solve Equation:
3x + 14 = 5x + 8
-3x
-3x
14 = 2x + 8
-8
-8
6 = 2x
2 2
x= 3
2) Combine like terms
3) Collect variables on same
side – use inverse operation
4) Collect constants on
same side – use inverse
operations
Use Steps to Solve Equation:
4(1 – 2x) = 4 – 6x
4 – 8x = 4 - 6x
+6x
+ 6x
4 - 2x = 4
-4
-4
-2x = 0
-2 -2
x= 0
Get rid of ( ) -- distribute
Get variables on same side
– use inverse operation
(add 6x)
Solve 2 step equation
Review Steps to Solve Equations
with Variables on Both Sides





Eliminate ( ) on both sides of equation
using the distributive property.
Combine any like terms on both sides.
Collect variable on one side of the equation
Collect constants on the other side of the
equation
Solve
Tools for the Tool
Box!!
Integer Rules
Solve the Equation
6x – 2 = x + 13
Solve the Equation
4k – 3 = 3k + 4
Solve the Equation
3 + 4x = 3x + 6
Solve the Equation
2(y + 3) = - 4y - 6
Solve the Equation
- 2y + 5 = 5(y + 2)