Question

Which value of x makes this equation true? -12x - 2(x+9) = 5(x+4)

Answer 1

Answer:

x = - 2

Step-by-step explanation:

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

-12x - 2x  - 18 = 5x + 20

-14x - 18 = 5x + 20

-14x - 5x  = 20 + 18

-19x = 38

x = -2

Answer 2

x = -2

−12x−2(x+9)=5(x+4)

Use the distributive property to multiply −2 by x+9.

−12x−2x−18=5(x+4)

Combine −12x and −2x to get −14x.

−14x−18=5(x+4)

Use the distributive property to multiply 5 by x+4.

−14x−18=5x+20

Subtract 5x from both sides.

−14x−18−5x=20

Combine −14x and −5x to get −19x.

−19x−18=20

Add 18 to both sides.

−19x=20+18

Add 20 and 18 to get 38.

−19x=38

Divide both sides by −19.

x=  

−19

38

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Divide 38 by −19 to get −2.

x=−2