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

Let's solve the given equation step by step:

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

First, let's simplify the mixed numbers:

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

Now the equation becomes:

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

Distribute the 3 on the right side:

(25/8)x - (3.5 - 2x) = 51/6 + 12/3x

Convert 3.5 to a fraction with a common denominator of 8:

(25/8)x - (7/2 - 2x) = 51/6 + 12/3x

Now let's work on simplifying the equation further:

(25/8)x - (7/2 - 2x) = 51/6 + 4x

Distribute the negative sign in the parentheses:

(25/8)x + 2x - 7/2 = 51/6 + 4x

Combine the fractions on the right side:

(25/8)x + 2x - 7/2 = 17/2 + 4x

Now, let's isolate the x terms on one side of the equation:

(25/8)x + 2x - 4x = 17/2 + 7/2

Combine the x terms:

(25/8)x - 2x = 24/2

(25/8)x - 16/8x = 24/2

(25 - 16)/8x = 24/2

9/8x = 12

Now, solve for x by multiplying both sides by the reciprocal of 9/8:

x = 12 * (8/9)

x = 96/9

x = 32/3

So, the solution to the equation is x = 32/3 or approximately 10.67.