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

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Solution for (2/3)(x-5)+(1/5)(2x+5)=1 equation:


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

We simplify the equation to the form, which is simple to understand 
(2/3)*(x-5)+(1/5)*(2x+5)=1

Simplifying:
( + 0.666666666667)*(x-5)+(1/5)*(2x+5)=1

Simplifying:
( + 0.666666666667)*(x-5)+( + 0.2)*(2x+5)=1

Reorder the terms in parentheses
multiplication of parentheses
( + 0.666666666667x-3.33333333333)+( + 0.2)*(2x+5)=1



Remove unnecessary parentheses
 + 0.666666666667x-3.33333333333+( + 0.2)*(2x+5)=1

Reorder the terms in parentheses
multiplication of parentheses
 + 0.666666666667x-3.33333333333+( + 0.4x+1)=1



Remove unnecessary parentheses
 + 0.666666666667x-3.33333333333 + 0.4x+1=+1

We move all terms containing x to the left and all other terms to the right. 
 + 0.666666666667x + 0.4x=+1+3.33333333333-1

We simplify left and right side of the equation. 
+1.06666666667x=+3.33333333333

We divide both sides of the equation by 1.06666666667 to get x. 
x=3.125

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