Question

X-4/5 - 3x-7/2 - 11/30 = 1/3 - 3x/2​

Answer 1

x-4/5 - 3x-7/2 - 11/30 = 1/3 - 3x/2​

-2x-27/10-11/30=1/3-3x/2

2x-3x/2=-46/15-1/3

0.5x=-17/5

x=-6.8

Answer 2

To solve the given equation, we need to find the value of 'x.' To do that, we'll combine like terms and then isolate 'x' on one side of the equation. Let's proceed step by step:

Step 1: Combine the fractions on the left-hand side of the equation. (x - 7/5) - (3x - 7)/2 - 11/30 = 1/3 - 3x/2

Step 2: Get a common denominator for the fractions on the left-hand side. The least common multiple (LCM) of 2, 5, and 30 is 30. So, let's rewrite the equation with the common denominator:

30 * (x - 7/5) - 30 * (3x - 7)/2 - 30 * 11/30 = 30 * (1/3) - 30 * (3x/2)

Step 3: Simplify the fractions and distribute:

30x - 42 - 15x + 105 - 11 = 10 - 45x

Step 4: Combine like terms:

30x - 15x - 45x = 10 - 42 + 105 - 11

Step 5: Simplify further:

-30x = 62

Step 6: Now, isolate 'x' by dividing both sides by -30:

x = 62 / -30

Step 7: Reduce the fraction (if possible):

x = -31/15

So, the solution to the equation is:

x = -31/15