Solving Equations

SOLVING EQUATIONSBy: Savana Bixler

One step(subtraction)

Subtraction:

1)

x+5=20

-5=-5

x=15

Subtract 5 from both sides

One step(addition)addition

Z-25=12

+25=+25

Z=37

Add 25 to both sides

One step(division)Division:

3x=6

3=3

X=2

Divide by 3 on both sides

One step(multiplication) Multiplication:

*6 (x/6)=5 *6

X=30

Multiply 6

Two step(addition, division)Addition and division:

3x-2=7

+2=+2

3x=9

3=3

X=3

Add 2 to both sides. Divide by 3 on both

sides.

Two step(subtraction, division) Subtraction and division:

3x+2=14

-2=-2

3x=12

3=3

X=4

Subtract 2 from both sides

Divide by 3 on both sides

Two step(addition, multiplication)Addition and multiplication:

z/2-6=8

+6=+6

*2 z/2=14 *2

Z=28

Add 6 to both sides Multiply 2 on both

sides

Two step(addition, multiplication) Addition and multiplication:

z/4-2=6

+2=+2

*4 z/4=8 *4

Z=32

Add 2 to both sides Multiply 4 on both

sides

Multi-step equation(two variables-same sides)Same sides:

2x+5x=49

7x=49

7 7

X=7

Combine like terms Divide by 7 on both

sides

Multi-step equation(two variables-different sides)Different sides:

7x-5=4x+8

-4x -4x

3x=13

3=3

X=4.333

Get your variables on the same sides by subtracting 2x from both sides

Add 5 to both sides Divide both sides by 3

Multi-step equations(using distributive property)Distributive property:

3(x+4)=9

3x+12=9

-12=-12

3x=-3

3=3

X=-1

Distribute the 2 from the out side of the parenthesis

Subtract 6 from both sides

Divide both sides by 3