solutions to equations

solve for x

100

3x+6=18

x=4

200

(3/4)x+2=6

(16/3)

300

2x+6=3x+9

x=-3

400

4x+23=19

x=-1

500

(1/3)x+2=(2/3)x+4

x=-6

It has how many solutions?

100

2x+1=2x+1

infinitely many solutions

200

3x+5=2x+5

1 solution

300

(1/3)x +5= (1/3)x +6

no solutions

400

3(x+2) +3= 2+3x+ 7 

infinitely many solutions

500

2(1/3x +4)¹⁰= 3(2/4x +7)³

one solution

simplify

100

2(x)+1

2x+1

200

2(3x+4)

6x+8

300

2(3x+2)-5

6x-1

400

(1/3)(3x+2)

x+(2/3)

500

3(1/3x -3)- 2x

-1x-9

combining like terms

100

2+3-1

4

200

3x+2+3x

6x+2

300

3(x+3)+2x

5x+9

400

2-5+3x+5+4x+7-9+6x-10x

3x

500

1000x+2-2+3-3+4-4+5-5+6-6-1000x

0

how to solve

100

we can use what property to simplify the expression

3(x+2)

distributive property

200

what is our first step in solving an multistep equation

simplify as much as possible

300

what is the second step to solving a multi step equation

get the variable on the same side as soon as possible 

400

how could we get rid of the fractions in the equation 

(1/3)x+2=(2/3)x+4

multiply both sides by the denominator (3)

500

does x= 0 mean that there is no solution

no