1/2(14x+4)-10=-1/3(18x-12)

Solution for 1/2(14x+4)-10=-1/3(18x-12) equation:

1/2(14x+4)-10=-1/3(18x-12)

We move all terms to the left:

1/2(14x+4)-10-(-1/3(18x-12))=0


Domain of the equation: 2(14x+4)!=0

x∈R



Domain of the equation: 3(18x-12))!=0

x∈R


We calculate fractions


(3x1/(2(14x+4)*3(18x-12)))+(-(-2x1)/(2(14x+4)*3(18x-12)))-10=0


We calculate terms in parentheses: +(3x1/(2(14x+4)*3(18x-12))), so:

3x1/(2(14x+4)*3(18x-12))

We multiply all the terms by the denominator


3x1

We add all the numbers together, and all the variables

3x

Back to the equation:

+(3x)



We calculate terms in parentheses: +(-(-2x1)/(2(14x+4)*3(18x-12))), so:

-(-2x1)/(2(14x+4)*3(18x-12))

We add all the numbers together, and all the variables

-(-2x)/(2(14x+4)*3(18x-12))

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

5x-10=0

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

5x=10

x=10/5

x=2