3(2+q) + 15 simplified

Rearrange terms

3(2+)+15

3({\color{#c92786}{2+q}})+153(2+q)+15

3(+2)+15

3({\color{#c92786}{q+2}})+153(q+2)+15

2

Distribute

3(+2)+15

{\color{#c92786}{3(q+2)}}+153(q+2)+15

3+6+15

{\color{#c92786}{3q+6}}+153q+6+15

3

Add the numbers

3+6+15

3q+{\color{#c92786}{6}}+{\color{#c92786}{15}}3q+6+15

3+21

3q+{\color{#c92786}{21}}3q+21

Solution

3+21

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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