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PLS PLS HELP ME! Solve the equation then find out how many solutions are to it! (Infinite solution, one solution, or no solution)!

1: 10+6x=2(5+3x)?

2: 3x+5-x=2x+7?

3:4x-4=2x+8?

ANSWER THE EQUATION THEN FIND OUT HOW MANY SOLUTIONS THERE ARE!

Pls help!!!! I need a good grade!

Respuesta :

Answer:

Number one: Infinite solutions

Number two: No solutions

Number three: X=6

Step-by-step explanation:

Number one:

10+6x=2(5+3x)

10+6x=(2)(5)+(2)(3x)(Distribute)

10+6x=10+6x

6x+10=6x+10

Step 2: Subtract 6x from both sides.

6x+10−6x=6x+10−6x

10=10

Step 3: Subtract 10 from both sides.

10−10=10−10

0=0

Number two:

Step 1: Simplify both sides of the equation.

3x+5−x=2x+7

3x+5+−x=2x+7

(3x+−x)+(5)=2x+7(Combine Like Terms)

2x+5=2x+7

2x+5=2x+7

Step 2: Subtract 2x from both sides.

2x+5−2x=2x+7−2x

5=7

Step 3: Subtract 5 from both sides.

5−5=7−5

0=2

Number three:

Step 1: Subtract 2x from both sides.

4x−4−2x=2x+8−2x

2x−4=8

Step 2: Add 4 to both sides.

2x−4+4=8+4

2x=12

Step 3: Divide both sides by 2.

2x2=122

x=6

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