Question

Solve (3x-2)/4 -(2x 5)/3 =(1-x)/6

Answer 1

Answer: -4 if subtraction

Step-by-step explanation: Now, I'm not sure what is supposed to be between the 2x 5 but for explaining I will use subtraction, but don't worry I'll put the answer for subtraction; addition; multiplication; and division, that way you have the correct answer no matter what.

Find the common denominator:3/3((3−24)4)+4/4((−2+53)3)=(1−)6

Then combine into one fraction:(3(3−2)+4(−2+5))/12=(1−)/6

Then distribute and add the numbers:(9+14−8)/12=(1−)/6

Then combine like terms:(1x+14)/12=(1-x)/6

Then simplify by multiply by the denominator to get rid of the fractions:x+14=2(−x+1)

Distribute:X+14=-2x+2

Then simplify by getting all x's on one side and all numbers on the other using reverse operations. For example if you have 6 on one side and 3x on the other you would divide 3 on both sides so you're left with x=2. To take an addition or subtraction number away then you multiply the number by a negative one and use it on both sides. Whenever you do something on one side you have to do it to the other.

x+14=-2x+2

-14 -14

x=-12-2x+

2x +2x

3x/3=-12/3

X=-4

To check, simply put your answer into the origanal equation and if it comes out with both sides being equal, or the statement being true, then it is correct.

Addition: x=28/3

Multiplication:x=-8/29

Division:x=40/47

Subtraction:-4

Hope this helped;) I enjoyed solving it: always love a challenge!

Answer 2

Answer: (3x-2)/4 - (2x+5)/3 = (1-x)/6 is x = 28/3.

Step-by-step explanation: To solve the equation (3x-2)/4 - (2x+5)/3 = (1-x)/6, we can follow these steps:

Step 1: Multiply both sides of the equation by the common denominator of 4, 3, and 6, which is 12. This will help eliminate the fractions in the equation.

(12 * [(3x-2)/4]) - (12 * [(2x+5)/3]) = (12 * [(1-x)/6])

Simplifying this expression gives us:

3(3x-2) - 4(2x+5) = 2(1-x)

Step 2: Distribute the numbers outside the parentheses to the terms inside.

9x - 6 - 8x - 20 = 2 - 2x

Simplifying further, we have:

x - 26 = 2 - 2x

Step 3: Move the variables to one side of the equation and the constants to the other side.

x + 2x = 2 + 26

Combining like terms, we get:

3x = 28

Step 4: Solve for x by dividing both sides of the equation by 3.

x = 28/3

Therefore, the solution to the equation (3x-2)/4 - (2x+5)/3 = (1-x)/6 is x = 28/3.