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carlosego

For this case we have:

Equation 1:

[tex]4x = 20[/tex]

Dividing between 4 on both sides of the equation we have:

[tex]\frac {4x} {4} = \frac {20} {4}\\x = 5[/tex]

Equation 2:

[tex]x-11 = 9[/tex]

Adding 11 to both sides of the equation we have:

[tex]x-11 + 11 = 9 + 11\\x = 20[/tex]

Equation 3:

[tex]5x + 6x = 22[/tex]

We add similar terms to the left side of the equation:

[tex]11x = 22[/tex]

We divide between 11 on both sides of the equation:

[tex]\frac {11x} {11} = \frac {22} {11}\\x = 2[/tex]

Equation 4:

[tex]5 (x-2) = 30[/tex]

We apply distributive property of the left side of the equation we have:

[tex]5x-10 = 30[/tex]

Adding 10 to both sides of the equation:

[tex]5x-10 + 10 = 30 + 10\\5x = 40[/tex]

Dividing between 5 on both sides of the equation:

[tex]\frac {5x} {5} = \frac {40} {5}\\x = 8[/tex]

ANswer:

[tex]x = 5\\x=20\\x = 2\\x = 8[/tex]

ASHDRYGON

Answer:

for 4x = 20 you have to use the division property of equality divide 20 by 4

for x - 11 = 9 you have to use the addition property of equality add 9 to 11

for 5x + 6x = 22 you have to combine like terms add 5x and 6x to make 11x

for 5(x – 2) = 30 you have to use the distributive property multiply 5 and x; 5 and -2

4x = 20; x = 5

x - 11 = 9; x = 20

5x + 6x = 22; 11x = 22; x = 2

5(x – 2) = 30; 5x - 10 = 30; x = 8

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