1/2(16x+14)-16=-1/5(15x-10)

Solution for 1/2(16x+14)-16=-1/5(15x-10) equation:

1/2(16x+14)-16=-1/5(15x-10)

We move all terms to the left:

1/2(16x+14)-16-(-1/5(15x-10))=0


Domain of the equation: 2(16x+14)!=0

x∈R



Domain of the equation: 5(15x-10))!=0

x∈R


We calculate fractions


(5x1/(2(16x+14)*5(15x-10)))+(-(-2x1)/(2(16x+14)*5(15x-10)))-16=0


We calculate terms in parentheses: +(5x1/(2(16x+14)*5(15x-10))), so:

5x1/(2(16x+14)*5(15x-10))

We multiply all the terms by the denominator


5x1

We add all the numbers together, and all the variables

5x

Back to the equation:

+(5x)



We calculate terms in parentheses: +(-(-2x1)/(2(16x+14)*5(15x-10))), so:

-(-2x1)/(2(16x+14)*5(15x-10))

We add all the numbers together, and all the variables

-(-2x)/(2(16x+14)*5(15x-10))

We multiply all the terms by the denominator


-(-2x)

We get rid of parentheses

2x

Back to the equation:

+(2x)


We add all the numbers together, and all the variables

7x-16=0

We move all terms containing x to the left, all other terms to the right

7x=16

x=16/7

x=2+2/7