3/4x-2=2/5
Rewrite the equation so it doesn’t have fractions

3/4 x-2 =2/5

Multiply both sides of the equation by 20

20(3/4 x-2)=20x 2/5

Distribute 20  through the parentheses

20x 3/4 x-20 x2=20 x2/5

Reduce the numbers with the greatest common factor 5

20 x 3/4 x -20 x2=4x2

Reduce the numbers with the greatest common factor 4

5x 3x-20x2=4x2

Multiply the numbers

5x3x-40=4x2

multiply the numbers

5x3x-40=8

Calculate the product

15x-40=8

16/5

Alternate form : x=3  1/5. x=3.2

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there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1