Question

3 1/8х -(3,5-2х)=3 (2 5/6+1 1/3х)

Answer 1

3 1/8х-(3,5-2х)=3(2 5/6+1 1/3х)

3,125 -3,5-2х=8,5+4х

-0,375-8,5=4х+2х

-8,875=6х

х= -8,875:6

х≈ -1,5

Answer 2

To solve the given equation, let's simplify and solve step by step:

3 1/8 × -(3.5 - 2x) = 3 (2 5/6 + 1 1/3x)

First, let's simplify the expressions with mixed numbers:

3 1/8 = 25/8 2 5/6 = 17/6 1 1/3 = 4/3

Now, let's rewrite the equation with fractions:

(25/8) × -(3.5 - 2x) = 3[(17/6) + (4/3)x]

Next, distribute the negative sign on the left side and multiply:

(25/8) × (-3.5 + 2x) = 3[(17/6) + (4/3)x]

Multiply both sides by 8 to eliminate the fraction on the left side:

25 × (-3.5 + 2x) = 24[(17/6) + (4/3)x]

Expand and simplify the equation:

-87.5 + 50x = 24[(17/6) + (4/3)x]

Now, let's eliminate the fractions by multiplying through by 6:

-525 + 300x = 24[17 + 8x]

Expand and simplify further:

-525 + 300x = 408 + 192x

Next, let's isolate the variables on one side and the constants on the other side:

300x - 192x = 408 + 525

Combine like terms:

108x = 933

Finally, solve for x by dividing both sides by 108:

x = 933/108

Simplifying the fraction:

x ≈ 8.6389

Therefore, the approximate solution to the equation is x ≈ 8.6389.