2/3 x + 5/6 = x - 1/2

SHOW WORK PLEASE

x=4

Step-by-step explanation:

2/3 x + 5/6 = x - 1/2

Multiply each side by 6 to clear the fractions

6(2/3 x + 5/6) = 6(x - 1/2)

Distribute

4x +5 = 6x-3

Subtract 4x from each side

4x+5 -4x = 6x-3-4x

5 = 2x-3

Add 3 to each side

5+3= 2x-3+3

8 =2x

Divide by 2

8/2 =2x/2

4 =x

5/6 * 1/2 = 5/

12

≅ 0.4166667

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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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