(5(x-2))/3=-x+2

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Solution for (5(x-2))/3=-x+2 equation: 



(5(x-2))/3=-x+2

We move all terms to the left:

(5(x-2))/3-(-x+2)=0

We add all the numbers together, and all the variables

(5(x-2))/3-(-1x+2)=0

We get rid of parentheses

(5(x-2))/3+1x-2=0

We multiply all the terms by the denominator


(5(x-2))+1x*3-2*3=0



We calculate terms in parentheses: +(5(x-2)), so:

5(x-2)

We multiply parentheses

5x-10

Back to the equation:

+(5x-10)



We add all the numbers together, and all the variables

(5x-10)+1x*3-6=0

Wy multiply elements

(5x-10)+3x-6=0

We get rid of parentheses

5x+3x-10-6=0

We add all the numbers together, and all the variables

8x-16=0

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

8x=16

x=16/8

x=2

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