Question

2/3x+9=3/4-7 please solve this question​

Answer 1

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Solve for x:

(2 x)/3 + 9 = 3/4 - 7

Put each term in (2 x)/3 + 9 over the common denominator 3: (2 x)/3 + 9 = (2 x)/3 + 27/3:

(2 x)/3 + 27/3 = 3/4 - 7

(2 x)/3 + 27/3 = (2 x + 27)/3:

1/3 (2 x + 27) = 3/4 - 7

Put 3/4 - 7 over the common denominator 4. 3/4 - 7 = 3/4 + (4 (-7))/4:

(2 x + 27)/3 = 3/4 - (7×4)/4

4 (-7) = -28:

(2 x + 27)/3 = 3/4 + (-28)/4

3/4 - 28/4 = (3 - 28)/4:

(2 x + 27)/3 = (3 - 28)/4

3 - 28 = -25:

(2 x + 27)/3 = (-25)/4

Multiply both sides of (2 x + 27)/3 = (-25)/4 by 3:

(3 (2 x + 27))/3 = (-253)/4

(3 (2 x + 27))/3 = 3/3×(2 x + 27) = 2 x + 27:

2 x + 27 = (-25×3)/4

3 (-25) = -75:

2 x + 27 = (-75)/4

Subtract 27 from both sides:

2 x + (27 - 27) = (-75)/4 - 27

27 - 27 = 0:

2 x = (-75)/4 - 27

Put (-75)/4 - 27 over the common denominator 4. (-75)/4 - 27 = (-75)/4 + (4 (-27))/4:

2 x = (-75)/4 - (27×4)/4

4 (-27) = -108:

2 x = (-108)/4 - 75/4

-75/4 - 108/4 = (-75 - 108)/4:

2 x = (-75 - 108)/4

-75 - 108 = -183:

2 x = (-183)/4

Divide both sides by 2:

x = ((-183)/2)/4

4×2 = 8:

Answer: |

| x = (-183)/8