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stich3 [128]
3 years ago
6

FOR 100 POINTS!!!!!!!!!!!Solve the equation. 3(4x + 4) = 2(5x + 9) - 12

Mathematics
2 answers:
Tatiana [17]3 years ago
6 0

Answer:

<h3>X=-3</h3>

Step-by-step explanation:

Isolate x on one side of the equation.

<u><em>DISTRIBUTIVE PROPERTY</em></u>

A(B+C)=AB+AC

A(B-C)=AB-AC

3(4x+4) (First, expand.)

3*4x=12x

3*4=12

12x+12

2(5x+9)-12

2*5x=10x

2*9=18

10x+18

18-12=6

12x+12=10x+6

12x+12-12=10x+6-12 (Subtract 12 from both sides.)

6-12 (Solve.)

12-6=6

12x=10x-6

12x-10x=10x-6-10x (Subtract 10x from both sides.)

12x-10x (Solve.)

12x-10x=2x

2x=-6

2x/2=-6/2 (Then, divide by 2 from both sides.)

-6/2 (Solve.)

-6/2=-3

x=-3

As a result, the final answer is x=-3.

Pepsi [2]3 years ago
6 0

Answer:

x = -3

Step-by-step explanation:

<u>Step 1:  Distribute </u>

3(4x + 4) = 2(5x + 9) - 12

(3 * 4x) + (3 * 4) = (2 * 5x) + (2 * 9) - 12

12x + 12 = 10x + 18 - 12

<u>Step 2:  Combine like terms </u>

12x + 12 = 10x + 6

<u>Step 3:  Subtract 10x from both sides </u>

12x + 12 - 10x = 10x + 6 - 10x

2x + 12 = 6

<u>Step 4:  Subtract 12 from both sides </u>

2x + 12 - 12 = 6 - 12

2x = -6

<u>Step 5:  Divide both sides by 2 </u>

2x / 2 = -6 / 2

x = -3

Answer:  x = -3

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